5y+2(y-6)=5(y+1)-2

Solution for 5y+2(y-6)=5(y+1)-2 equation:

Simplifying
5y + 2(y + -6) = 5(y + 1) + -2

Reorder the terms:
5y + 2(-6 + y) = 5(y + 1) + -2
5y + (-6 * 2 + y * 2) = 5(y + 1) + -2
5y + (-12 + 2y) = 5(y + 1) + -2

Reorder the terms:
-12 + 5y + 2y = 5(y + 1) + -2

Combine like terms: 5y + 2y = 7y
-12 + 7y = 5(y + 1) + -2

Reorder the terms:
-12 + 7y = 5(1 + y) + -2
-12 + 7y = (1 * 5 + y * 5) + -2
-12 + 7y = (5 + 5y) + -2

Reorder the terms:
-12 + 7y = 5 + -2 + 5y

Combine like terms: 5 + -2 = 3
-12 + 7y = 3 + 5y

Solving
-12 + 7y = 3 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-12 + 7y + -5y = 3 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-12 + 2y = 3 + 5y + -5y

Combine like terms: 5y + -5y = 0
-12 + 2y = 3 + 0
-12 + 2y = 3

Add '12' to each side of the equation.
-12 + 12 + 2y = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 2y = 3 + 12
2y = 3 + 12

Combine like terms: 3 + 12 = 15
2y = 15

Divide each side by '2'.
y = 7.5

Simplifying
y = 7.5