4(y+5)=7y-7

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


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

Reorder the terms:
4(5 + y) = 7y + -7
(5 * 4 + y * 4) = 7y + -7
(20 + 4y) = 7y + -7

Reorder the terms:
20 + 4y = -7 + 7y

Solving
20 + 4y = -7 + 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.
20 + 4y + -7y = -7 + 7y + -7y

Combine like terms: 4y + -7y = -3y
20 + -3y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
20 + -3y = -7 + 0
20 + -3y = -7

Add '-20' to each side of the equation.
20 + -20 + -3y = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -3y = -7 + -20
-3y = -7 + -20

Combine like terms: -7 + -20 = -27
-3y = -27

Divide each side by '-3'.
y = 9

Simplifying
y = 9

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