5(3y+7)=-35(y-1)-150

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Solution for 5(3y+7)=-35(y-1)-150 equation:


Simplifying
5(3y + 7) = -35(y + -1) + -150

Reorder the terms:
5(7 + 3y) = -35(y + -1) + -150
(7 * 5 + 3y * 5) = -35(y + -1) + -150
(35 + 15y) = -35(y + -1) + -150

Reorder the terms:
35 + 15y = -35(-1 + y) + -150
35 + 15y = (-1 * -35 + y * -35) + -150
35 + 15y = (35 + -35y) + -150

Reorder the terms:
35 + 15y = 35 + -150 + -35y

Combine like terms: 35 + -150 = -115
35 + 15y = -115 + -35y

Solving
35 + 15y = -115 + -35y

Solving for variable 'y'.

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

Add '35y' to each side of the equation.
35 + 15y + 35y = -115 + -35y + 35y

Combine like terms: 15y + 35y = 50y
35 + 50y = -115 + -35y + 35y

Combine like terms: -35y + 35y = 0
35 + 50y = -115 + 0
35 + 50y = -115

Add '-35' to each side of the equation.
35 + -35 + 50y = -115 + -35

Combine like terms: 35 + -35 = 0
0 + 50y = -115 + -35
50y = -115 + -35

Combine like terms: -115 + -35 = -150
50y = -150

Divide each side by '50'.
y = -3

Simplifying
y = -3

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