4(y+3)=9(y-2)

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Solution for 4(y+3)=9(y-2) equation:


Simplifying
4(y + 3) = 9(y + -2)

Reorder the terms:
4(3 + y) = 9(y + -2)
(3 * 4 + y * 4) = 9(y + -2)
(12 + 4y) = 9(y + -2)

Reorder the terms:
12 + 4y = 9(-2 + y)
12 + 4y = (-2 * 9 + y * 9)
12 + 4y = (-18 + 9y)

Solving
12 + 4y = -18 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
12 + 4y + -9y = -18 + 9y + -9y

Combine like terms: 4y + -9y = -5y
12 + -5y = -18 + 9y + -9y

Combine like terms: 9y + -9y = 0
12 + -5y = -18 + 0
12 + -5y = -18

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

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

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

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

Simplifying
y = 6

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