-5(y-9)=-3y+47

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Solution for -5(y-9)=-3y+47 equation:


Simplifying
-5(y + -9) = -3y + 47

Reorder the terms:
-5(-9 + y) = -3y + 47
(-9 * -5 + y * -5) = -3y + 47
(45 + -5y) = -3y + 47

Reorder the terms:
45 + -5y = 47 + -3y

Solving
45 + -5y = 47 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
45 + -5y + 3y = 47 + -3y + 3y

Combine like terms: -5y + 3y = -2y
45 + -2y = 47 + -3y + 3y

Combine like terms: -3y + 3y = 0
45 + -2y = 47 + 0
45 + -2y = 47

Add '-45' to each side of the equation.
45 + -45 + -2y = 47 + -45

Combine like terms: 45 + -45 = 0
0 + -2y = 47 + -45
-2y = 47 + -45

Combine like terms: 47 + -45 = 2
-2y = 2

Divide each side by '-2'.
y = -1

Simplifying
y = -1

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