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

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

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

Reorder the terms:
-5(-7 + 6y) + -1y = -2(y + -3)
(-7 * -5 + 6y * -5) + -1y = -2(y + -3)
(35 + -30y) + -1y = -2(y + -3)

Combine like terms: -30y + -1y = -31y
35 + -31y = -2(y + -3)

Reorder the terms:
35 + -31y = -2(-3 + y)
35 + -31y = (-3 * -2 + y * -2)
35 + -31y = (6 + -2y)

Solving
35 + -31y = 6 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
35 + -31y + 2y = 6 + -2y + 2y

Combine like terms: -31y + 2y = -29y
35 + -29y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
35 + -29y = 6 + 0
35 + -29y = 6

Add '-35' to each side of the equation.
35 + -35 + -29y = 6 + -35

Combine like terms: 35 + -35 = 0
0 + -29y = 6 + -35
-29y = 6 + -35

Combine like terms: 6 + -35 = -29
-29y = -29

Divide each side by '-29'.
y = 1

Simplifying
y = 1