18-(3-2y)=3(y-5)

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Solution for 18-(3-2y)=3(y-5) equation:


Simplifying
18 + -1(3 + -2y) = 3(y + -5)
18 + (3 * -1 + -2y * -1) = 3(y + -5)
18 + (-3 + 2y) = 3(y + -5)

Combine like terms: 18 + -3 = 15
15 + 2y = 3(y + -5)

Reorder the terms:
15 + 2y = 3(-5 + y)
15 + 2y = (-5 * 3 + y * 3)
15 + 2y = (-15 + 3y)

Solving
15 + 2y = -15 + 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.
15 + 2y + -3y = -15 + 3y + -3y

Combine like terms: 2y + -3y = -1y
15 + -1y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
15 + -1y = -15 + 0
15 + -1y = -15

Add '-15' to each side of the equation.
15 + -15 + -1y = -15 + -15

Combine like terms: 15 + -15 = 0
0 + -1y = -15 + -15
-1y = -15 + -15

Combine like terms: -15 + -15 = -30
-1y = -30

Divide each side by '-1'.
y = 30

Simplifying
y = 30

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