4-3(2-y)=y-2(3y-7)

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Solution for 4-3(2-y)=y-2(3y-7) equation:


Simplifying
4 + -3(2 + -1y) = y + -2(3y + -7)
4 + (2 * -3 + -1y * -3) = y + -2(3y + -7)
4 + (-6 + 3y) = y + -2(3y + -7)

Combine like terms: 4 + -6 = -2
-2 + 3y = y + -2(3y + -7)

Reorder the terms:
-2 + 3y = y + -2(-7 + 3y)
-2 + 3y = y + (-7 * -2 + 3y * -2)
-2 + 3y = y + (14 + -6y)

Reorder the terms:
-2 + 3y = 14 + y + -6y

Combine like terms: y + -6y = -5y
-2 + 3y = 14 + -5y

Solving
-2 + 3y = 14 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-2 + 3y + 5y = 14 + -5y + 5y

Combine like terms: 3y + 5y = 8y
-2 + 8y = 14 + -5y + 5y

Combine like terms: -5y + 5y = 0
-2 + 8y = 14 + 0
-2 + 8y = 14

Add '2' to each side of the equation.
-2 + 2 + 8y = 14 + 2

Combine like terms: -2 + 2 = 0
0 + 8y = 14 + 2
8y = 14 + 2

Combine like terms: 14 + 2 = 16
8y = 16

Divide each side by '8'.
y = 2

Simplifying
y = 2

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