3(y-10)+1=-7(y-8)

Solution for 3(y-10)+1=-7(y-8) equation:

Simplifying
3(y + -10) + 1 = -7(y + -8)

Reorder the terms:
3(-10 + y) + 1 = -7(y + -8)
(-10 * 3 + y * 3) + 1 = -7(y + -8)
(-30 + 3y) + 1 = -7(y + -8)

Reorder the terms:
-30 + 1 + 3y = -7(y + -8)

Combine like terms: -30 + 1 = -29
-29 + 3y = -7(y + -8)

Reorder the terms:
-29 + 3y = -7(-8 + y)
-29 + 3y = (-8 * -7 + y * -7)
-29 + 3y = (56 + -7y)

Solving
-29 + 3y = 56 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-29 + 3y + 7y = 56 + -7y + 7y

Combine like terms: 3y + 7y = 10y
-29 + 10y = 56 + -7y + 7y

Combine like terms: -7y + 7y = 0
-29 + 10y = 56 + 0
-29 + 10y = 56

Add '29' to each side of the equation.
-29 + 29 + 10y = 56 + 29

Combine like terms: -29 + 29 = 0
0 + 10y = 56 + 29
10y = 56 + 29

Combine like terms: 56 + 29 = 85
10y = 85

Divide each side by '10'.
y = 8.5

Simplifying
y = 8.5