User:
Matrices
Algebra
Geometry
Graphs and functions
Trigonometry
Coordinate geometry
Combinatorics
Suma y resta
Producto por escalar
Producto
Inversa
Monomials
Polynomials
Special products
Equations
Quadratic equations
Radical expressions
Systems of equations
Sequences and series
Inner product
Exponential equations
Matrices
Determinants
Inverse of a matrix
Logarithmic equations
Systems of 3 variables equations
2-D Shapes
Areas
Pythagorean Theorem
Distances
Graphs
Definition of slope
Positive or negative slope
Determine slope of a line
Equation of a line
Equation of a line (from graph)
Quadratic function
Parallel, coincident and intersecting lines
Asymptotes
Limits
Distances
Continuity and discontinuities
Pythagorean Theorem
Sine
Cosine
Tangent
Cosecant
Secant
Cotangent
Trigonometric identities
Trigonometric functions of an acute angle
Trigonometric functions of related angles
Solving right triangles
Law of cosines
Law of sines
Equations of a straight line
Parallel, coincident and intersecting lines
Distances
Angles in space
Inner product
Factorial
Variations without repetition
Variations with repetition
Permutations with repetition
Permutations without repetition
Exercises
Circular permutations
Binomial coefficient
Combinations with repetition
Combinations without repetition
Arithmetic mean
Single-variable equations
- Does x satisfy the equation
-Solve one-step linear equations
- Solve two-step linear equations
- Solve equations involving squares and square roots
- Solve equations involving
like terms
- Solve multi-step equations
Return to www.emathematics.net
Solve equations involving like terms
A common type of linear equation is one in which the variable terms are not combined into one term. In such cases, you can begin the solution combining like terms.
Solve 3y+8-5y=4
3y+8-5y=4
Write original equation
3y-5y+8=4
Group like terms
-2y+8=4
Combine like terms
-2y+8-8=4-8
Subtract 8 from each side
-2y=-4
Combine like terms
Divide each side by -2
y=2
Simplify
The solution is y=2