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

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

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

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

Reorder the terms:
14 + 2y = 3(-2 + y)
14 + 2y = (-2 * 3 + y * 3)
14 + 2y = (-6 + 3y)

Solving
14 + 2y = -6 + 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.
14 + 2y + -3y = -6 + 3y + -3y

Combine like terms: 2y + -3y = -1y
14 + -1y = -6 + 3y + -3y

Combine like terms: 3y + -3y = 0
14 + -1y = -6 + 0
14 + -1y = -6

Add '-14' to each side of the equation.
14 + -14 + -1y = -6 + -14

Combine like terms: 14 + -14 = 0
0 + -1y = -6 + -14
-1y = -6 + -14

Combine like terms: -6 + -14 = -20
-1y = -20

Divide each side by '-1'.
y = 20

Simplifying
y = 20