3(y+6)=4(2y-3)

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Solution for 3(y+6)=4(2y-3) equation:


Simplifying
3(y + 6) = 4(2y + -3)

Reorder the terms:
3(6 + y) = 4(2y + -3)
(6 * 3 + y * 3) = 4(2y + -3)
(18 + 3y) = 4(2y + -3)

Reorder the terms:
18 + 3y = 4(-3 + 2y)
18 + 3y = (-3 * 4 + 2y * 4)
18 + 3y = (-12 + 8y)

Solving
18 + 3y = -12 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
18 + 3y + -8y = -12 + 8y + -8y

Combine like terms: 3y + -8y = -5y
18 + -5y = -12 + 8y + -8y

Combine like terms: 8y + -8y = 0
18 + -5y = -12 + 0
18 + -5y = -12

Add '-18' to each side of the equation.
18 + -18 + -5y = -12 + -18

Combine like terms: 18 + -18 = 0
0 + -5y = -12 + -18
-5y = -12 + -18

Combine like terms: -12 + -18 = -30
-5y = -30

Divide each side by '-5'.
y = 6

Simplifying
y = 6

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