7(6-2y)=5(-3y+1)

Solution for 7(6-2y)=5(-3y+1) equation:

Simplifying
7(6 + -2y) = 5(-3y + 1)
(6 * 7 + -2y * 7) = 5(-3y + 1)
(42 + -14y) = 5(-3y + 1)

Reorder the terms:
42 + -14y = 5(1 + -3y)
42 + -14y = (1 * 5 + -3y * 5)
42 + -14y = (5 + -15y)

Solving
42 + -14y = 5 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
42 + -14y + 15y = 5 + -15y + 15y

Combine like terms: -14y + 15y = 1y
42 + 1y = 5 + -15y + 15y

Combine like terms: -15y + 15y = 0
42 + 1y = 5 + 0
42 + 1y = 5

Add '-42' to each side of the equation.
42 + -42 + 1y = 5 + -42

Combine like terms: 42 + -42 = 0
0 + 1y = 5 + -42
1y = 5 + -42

Combine like terms: 5 + -42 = -37
1y = -37

Divide each side by '1'.
y = -37

Simplifying
y = -37