-3(3y-4)+5y=5(y+3)-93

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Solution for -3(3y-4)+5y=5(y+3)-93 equation: 


Simplifying
-3(3y + -4) + 5y = 5(y + 3) + -93

Reorder the terms:
-3(-4 + 3y) + 5y = 5(y + 3) + -93
(-4 * -3 + 3y * -3) + 5y = 5(y + 3) + -93
(12 + -9y) + 5y = 5(y + 3) + -93

Combine like terms: -9y + 5y = -4y
12 + -4y = 5(y + 3) + -93

Reorder the terms:
12 + -4y = 5(3 + y) + -93
12 + -4y = (3 * 5 + y * 5) + -93
12 + -4y = (15 + 5y) + -93

Reorder the terms:
12 + -4y = 15 + -93 + 5y

Combine like terms: 15 + -93 = -78
12 + -4y = -78 + 5y

Solving
12 + -4y = -78 + 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.
12 + -4y + -5y = -78 + 5y + -5y

Combine like terms: -4y + -5y = -9y
12 + -9y = -78 + 5y + -5y

Combine like terms: 5y + -5y = 0
12 + -9y = -78 + 0
12 + -9y = -78

Add '-12' to each side of the equation.
12 + -12 + -9y = -78 + -12

Combine like terms: 12 + -12 = 0
0 + -9y = -78 + -12
-9y = -78 + -12

Combine like terms: -78 + -12 = -90
-9y = -90

Divide each side by '-9'.
y = 10

Simplifying
y = 10

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