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

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


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

Reorder the terms:
-5(7 + y) = 7(y + 4) + -5
(7 * -5 + y * -5) = 7(y + 4) + -5
(-35 + -5y) = 7(y + 4) + -5

Reorder the terms:
-35 + -5y = 7(4 + y) + -5
-35 + -5y = (4 * 7 + y * 7) + -5
-35 + -5y = (28 + 7y) + -5

Reorder the terms:
-35 + -5y = 28 + -5 + 7y

Combine like terms: 28 + -5 = 23
-35 + -5y = 23 + 7y

Solving
-35 + -5y = 23 + 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 + -5y + -7y = 23 + 7y + -7y

Combine like terms: -5y + -7y = -12y
-35 + -12y = 23 + 7y + -7y

Combine like terms: 7y + -7y = 0
-35 + -12y = 23 + 0
-35 + -12y = 23

Add '35' to each side of the equation.
-35 + 35 + -12y = 23 + 35

Combine like terms: -35 + 35 = 0
0 + -12y = 23 + 35
-12y = 23 + 35

Combine like terms: 23 + 35 = 58
-12y = 58

Divide each side by '-12'.
y = -4.833333333

Simplifying
y = -4.833333333

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