5+2(y-7)=3(y+1)-2

Solution for 5+2(y-7)=3(y+1)-2 equation:

Simplifying
5 + 2(y + -7) = 3(y + 1) + -2

Reorder the terms:
5 + 2(-7 + y) = 3(y + 1) + -2
5 + (-7 * 2 + y * 2) = 3(y + 1) + -2
5 + (-14 + 2y) = 3(y + 1) + -2

Combine like terms: 5 + -14 = -9
-9 + 2y = 3(y + 1) + -2

Reorder the terms:
-9 + 2y = 3(1 + y) + -2
-9 + 2y = (1 * 3 + y * 3) + -2
-9 + 2y = (3 + 3y) + -2

Reorder the terms:
-9 + 2y = 3 + -2 + 3y

Combine like terms: 3 + -2 = 1
-9 + 2y = 1 + 3y

Solving
-9 + 2y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-9 + 2y + -3y = 1 + 3y + -3y

Combine like terms: 2y + -3y = -1y
-9 + -1y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-9 + -1y = 1 + 0
-9 + -1y = 1

Add '9' to each side of the equation.
-9 + 9 + -1y = 1 + 9

Combine like terms: -9 + 9 = 0
0 + -1y = 1 + 9
-1y = 1 + 9

Combine like terms: 1 + 9 = 10
-1y = 10

Divide each side by '-1'.
y = -10

Simplifying
y = -10