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

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


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

Reorder the terms:
4(-3 + 2y) = (3y + 6)
(-3 * 4 + 2y * 4) = (3y + 6)
(-12 + 8y) = (3y + 6)

Reorder the terms:
-12 + 8y = (6 + 3y)

Remove parenthesis around (6 + 3y)
-12 + 8y = 6 + 3y

Solving
-12 + 8y = 6 + 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.
-12 + 8y + -3y = 6 + 3y + -3y

Combine like terms: 8y + -3y = 5y
-12 + 5y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
-12 + 5y = 6 + 0
-12 + 5y = 6

Add '12' to each side of the equation.
-12 + 12 + 5y = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = 6 + 12
5y = 6 + 12

Combine like terms: 6 + 12 = 18
5y = 18

Divide each side by '5'.
y = 3.6

Simplifying
y = 3.6

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