5(3y+7)=7y-20

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Solution for 5(3y+7)=7y-20 equation:


Simplifying
5(3y + 7) = 7y + -20

Reorder the terms:
5(7 + 3y) = 7y + -20
(7 * 5 + 3y * 5) = 7y + -20
(35 + 15y) = 7y + -20

Reorder the terms:
35 + 15y = -20 + 7y

Solving
35 + 15y = -20 + 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.
35 + 15y + -7y = -20 + 7y + -7y

Combine like terms: 15y + -7y = 8y
35 + 8y = -20 + 7y + -7y

Combine like terms: 7y + -7y = 0
35 + 8y = -20 + 0
35 + 8y = -20

Add '-35' to each side of the equation.
35 + -35 + 8y = -20 + -35

Combine like terms: 35 + -35 = 0
0 + 8y = -20 + -35
8y = -20 + -35

Combine like terms: -20 + -35 = -55
8y = -55

Divide each side by '8'.
y = -6.875

Simplifying
y = -6.875

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