6(y-2)-5y=2y+3-6y

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Solution for 6(y-2)-5y=2y+3-6y equation: 


Simplifying
6(y + -2) + -5y = 2y + 3 + -6y

Reorder the terms:
6(-2 + y) + -5y = 2y + 3 + -6y
(-2 * 6 + y * 6) + -5y = 2y + 3 + -6y
(-12 + 6y) + -5y = 2y + 3 + -6y

Combine like terms: 6y + -5y = 1y
-12 + 1y = 2y + 3 + -6y

Reorder the terms:
-12 + 1y = 3 + 2y + -6y

Combine like terms: 2y + -6y = -4y
-12 + 1y = 3 + -4y

Solving
-12 + 1y = 3 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
-12 + 1y + 4y = 3 + -4y + 4y

Combine like terms: 1y + 4y = 5y
-12 + 5y = 3 + -4y + 4y

Combine like terms: -4y + 4y = 0
-12 + 5y = 3 + 0
-12 + 5y = 3

Add '12' to each side of the equation.
-12 + 12 + 5y = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 5y = 3 + 12
5y = 3 + 12

Combine like terms: 3 + 12 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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