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

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


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

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

Combine like terms: 6 + 4 = 10
10 + -2y = 6(y + 3)

Reorder the terms:
10 + -2y = 6(3 + y)
10 + -2y = (3 * 6 + y * 6)
10 + -2y = (18 + 6y)

Solving
10 + -2y = 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.
10 + -2y + -6y = 18 + 6y + -6y

Combine like terms: -2y + -6y = -8y
10 + -8y = 18 + 6y + -6y

Combine like terms: 6y + -6y = 0
10 + -8y = 18 + 0
10 + -8y = 18

Add '-10' to each side of the equation.
10 + -10 + -8y = 18 + -10

Combine like terms: 10 + -10 = 0
0 + -8y = 18 + -10
-8y = 18 + -10

Combine like terms: 18 + -10 = 8
-8y = 8

Divide each side by '-8'.
y = -1

Simplifying
y = -1

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