8y-6(2y+3)=-2y-20

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Solution for 8y-6(2y+3)=-2y-20 equation:


Simplifying
8y + -6(2y + 3) = -2y + -20

Reorder the terms:
8y + -6(3 + 2y) = -2y + -20
8y + (3 * -6 + 2y * -6) = -2y + -20
8y + (-18 + -12y) = -2y + -20

Reorder the terms:
-18 + 8y + -12y = -2y + -20

Combine like terms: 8y + -12y = -4y
-18 + -4y = -2y + -20

Reorder the terms:
-18 + -4y = -20 + -2y

Solving
-18 + -4y = -20 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-18 + -4y + 2y = -20 + -2y + 2y

Combine like terms: -4y + 2y = -2y
-18 + -2y = -20 + -2y + 2y

Combine like terms: -2y + 2y = 0
-18 + -2y = -20 + 0
-18 + -2y = -20

Add '18' to each side of the equation.
-18 + 18 + -2y = -20 + 18

Combine like terms: -18 + 18 = 0
0 + -2y = -20 + 18
-2y = -20 + 18

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

Divide each side by '-2'.
y = 1

Simplifying
y = 1

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