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

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


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

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

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

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

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

Divide each side by '5'.
y = -1.2

Simplifying
y = -1.2

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