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

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

Simplifying
7(2 + -1y) = 3(y + 2)
(2 * 7 + -1y * 7) = 3(y + 2)
(14 + -7y) = 3(y + 2)

Reorder the terms:
14 + -7y = 3(2 + y)
14 + -7y = (2 * 3 + y * 3)
14 + -7y = (6 + 3y)

Solving
14 + -7y = 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 + -7y + -3y = 6 + 3y + -3y

Combine like terms: -7y + -3y = -10y
14 + -10y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
14 + -10y = 6 + 0
14 + -10y = 6

Add '-14' to each side of the equation.
14 + -14 + -10y = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -10y = 6 + -14
-10y = 6 + -14

Combine like terms: 6 + -14 = -8
-10y = -8

Divide each side by '-10'.
y = 0.8

Simplifying
y = 0.8