3(4y-5)=-5y+36

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Solution for 3(4y-5)=-5y+36 equation: 


Simplifying
3(4y + -5) = -5y + 36

Reorder the terms:
3(-5 + 4y) = -5y + 36
(-5 * 3 + 4y * 3) = -5y + 36
(-15 + 12y) = -5y + 36

Reorder the terms:
-15 + 12y = 36 + -5y

Solving
-15 + 12y = 36 + -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.
-15 + 12y + 5y = 36 + -5y + 5y

Combine like terms: 12y + 5y = 17y
-15 + 17y = 36 + -5y + 5y

Combine like terms: -5y + 5y = 0
-15 + 17y = 36 + 0
-15 + 17y = 36

Add '15' to each side of the equation.
-15 + 15 + 17y = 36 + 15

Combine like terms: -15 + 15 = 0
0 + 17y = 36 + 15
17y = 36 + 15

Combine like terms: 36 + 15 = 51
17y = 51

Divide each side by '17'.
y = 3

Simplifying
y = 3

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