-5(y-3)=9y+43

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Solution for -5(y-3)=9y+43 equation:


Simplifying
-5(y + -3) = 9y + 43

Reorder the terms:
-5(-3 + y) = 9y + 43
(-3 * -5 + y * -5) = 9y + 43
(15 + -5y) = 9y + 43

Reorder the terms:
15 + -5y = 43 + 9y

Solving
15 + -5y = 43 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
15 + -5y + -9y = 43 + 9y + -9y

Combine like terms: -5y + -9y = -14y
15 + -14y = 43 + 9y + -9y

Combine like terms: 9y + -9y = 0
15 + -14y = 43 + 0
15 + -14y = 43

Add '-15' to each side of the equation.
15 + -15 + -14y = 43 + -15

Combine like terms: 15 + -15 = 0
0 + -14y = 43 + -15
-14y = 43 + -15

Combine like terms: 43 + -15 = 28
-14y = 28

Divide each side by '-14'.
y = -2

Simplifying
y = -2

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