4(y+6)=-2(4y-9)+2y

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Solution for 4(y+6)=-2(4y-9)+2y equation:


Simplifying
4(y + 6) = -2(4y + -9) + 2y

Reorder the terms:
4(6 + y) = -2(4y + -9) + 2y
(6 * 4 + y * 4) = -2(4y + -9) + 2y
(24 + 4y) = -2(4y + -9) + 2y

Reorder the terms:
24 + 4y = -2(-9 + 4y) + 2y
24 + 4y = (-9 * -2 + 4y * -2) + 2y
24 + 4y = (18 + -8y) + 2y

Combine like terms: -8y + 2y = -6y
24 + 4y = 18 + -6y

Solving
24 + 4y = 18 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
24 + 4y + 6y = 18 + -6y + 6y

Combine like terms: 4y + 6y = 10y
24 + 10y = 18 + -6y + 6y

Combine like terms: -6y + 6y = 0
24 + 10y = 18 + 0
24 + 10y = 18

Add '-24' to each side of the equation.
24 + -24 + 10y = 18 + -24

Combine like terms: 24 + -24 = 0
0 + 10y = 18 + -24
10y = 18 + -24

Combine like terms: 18 + -24 = -6
10y = -6

Divide each side by '10'.
y = -0.6

Simplifying
y = -0.6

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