-3(y+5)=-7y-43

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Solution for -3(y+5)=-7y-43 equation: 


Simplifying
-3(y + 5) = -7y + -43

Reorder the terms:
-3(5 + y) = -7y + -43
(5 * -3 + y * -3) = -7y + -43
(-15 + -3y) = -7y + -43

Reorder the terms:
-15 + -3y = -43 + -7y

Solving
-15 + -3y = -43 + -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.
-15 + -3y + 7y = -43 + -7y + 7y

Combine like terms: -3y + 7y = 4y
-15 + 4y = -43 + -7y + 7y

Combine like terms: -7y + 7y = 0
-15 + 4y = -43 + 0
-15 + 4y = -43

Add '15' to each side of the equation.
-15 + 15 + 4y = -43 + 15

Combine like terms: -15 + 15 = 0
0 + 4y = -43 + 15
4y = -43 + 15

Combine like terms: -43 + 15 = -28
4y = -28

Divide each side by '4'.
y = -7

Simplifying
y = -7

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