4(y+5)=-2(6y-1)+6y

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Solution for 4(y+5)=-2(6y-1)+6y equation:


Simplifying
4(y + 5) = -2(6y + -1) + 6y

Reorder the terms:
4(5 + y) = -2(6y + -1) + 6y
(5 * 4 + y * 4) = -2(6y + -1) + 6y
(20 + 4y) = -2(6y + -1) + 6y

Reorder the terms:
20 + 4y = -2(-1 + 6y) + 6y
20 + 4y = (-1 * -2 + 6y * -2) + 6y
20 + 4y = (2 + -12y) + 6y

Combine like terms: -12y + 6y = -6y
20 + 4y = 2 + -6y

Solving
20 + 4y = 2 + -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.
20 + 4y + 6y = 2 + -6y + 6y

Combine like terms: 4y + 6y = 10y
20 + 10y = 2 + -6y + 6y

Combine like terms: -6y + 6y = 0
20 + 10y = 2 + 0
20 + 10y = 2

Add '-20' to each side of the equation.
20 + -20 + 10y = 2 + -20

Combine like terms: 20 + -20 = 0
0 + 10y = 2 + -20
10y = 2 + -20

Combine like terms: 2 + -20 = -18
10y = -18

Divide each side by '10'.
y = -1.8

Simplifying
y = -1.8

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