7(y-4)=5y-30

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Solution for 7(y-4)=5y-30 equation: 


Simplifying
7(y + -4) = 5y + -30

Reorder the terms:
7(-4 + y) = 5y + -30
(-4 * 7 + y * 7) = 5y + -30
(-28 + 7y) = 5y + -30

Reorder the terms:
-28 + 7y = -30 + 5y

Solving
-28 + 7y = -30 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-28 + 7y + -5y = -30 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-28 + 2y = -30 + 5y + -5y

Combine like terms: 5y + -5y = 0
-28 + 2y = -30 + 0
-28 + 2y = -30

Add '28' to each side of the equation.
-28 + 28 + 2y = -30 + 28

Combine like terms: -28 + 28 = 0
0 + 2y = -30 + 28
2y = -30 + 28

Combine like terms: -30 + 28 = -2
2y = -2

Divide each side by '2'.
y = -1

Simplifying
y = -1

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