-7(y+5)=5y+49

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Solution for -7(y+5)=5y+49 equation:


Simplifying
-7(y + 5) = 5y + 49

Reorder the terms:
-7(5 + y) = 5y + 49
(5 * -7 + y * -7) = 5y + 49
(-35 + -7y) = 5y + 49

Reorder the terms:
-35 + -7y = 49 + 5y

Solving
-35 + -7y = 49 + 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.
-35 + -7y + -5y = 49 + 5y + -5y

Combine like terms: -7y + -5y = -12y
-35 + -12y = 49 + 5y + -5y

Combine like terms: 5y + -5y = 0
-35 + -12y = 49 + 0
-35 + -12y = 49

Add '35' to each side of the equation.
-35 + 35 + -12y = 49 + 35

Combine like terms: -35 + 35 = 0
0 + -12y = 49 + 35
-12y = 49 + 35

Combine like terms: 49 + 35 = 84
-12y = 84

Divide each side by '-12'.
y = -7

Simplifying
y = -7

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