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

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


Simplifying
y + -3 + -2(6 + -2y) = 2(2y + -5)
y + -3 + (6 * -2 + -2y * -2) = 2(2y + -5)
y + -3 + (-12 + 4y) = 2(2y + -5)

Reorder the terms:
-3 + -12 + y + 4y = 2(2y + -5)

Combine like terms: -3 + -12 = -15
-15 + y + 4y = 2(2y + -5)

Combine like terms: y + 4y = 5y
-15 + 5y = 2(2y + -5)

Reorder the terms:
-15 + 5y = 2(-5 + 2y)
-15 + 5y = (-5 * 2 + 2y * 2)
-15 + 5y = (-10 + 4y)

Solving
-15 + 5y = -10 + 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.
-15 + 5y + -4y = -10 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-15 + 1y = -10 + 4y + -4y

Combine like terms: 4y + -4y = 0
-15 + 1y = -10 + 0
-15 + 1y = -10

Add '15' to each side of the equation.
-15 + 15 + 1y = -10 + 15

Combine like terms: -15 + 15 = 0
0 + 1y = -10 + 15
1y = -10 + 15

Combine like terms: -10 + 15 = 5
1y = 5

Divide each side by '1'.
y = 5

Simplifying
y = 5

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