2y-(y-4)=5+7y-12

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Solution for 2y-(y-4)=5+7y-12 equation:


Simplifying
2y + -1(y + -4) = 5 + 7y + -12

Reorder the terms:
2y + -1(-4 + y) = 5 + 7y + -12
2y + (-4 * -1 + y * -1) = 5 + 7y + -12
2y + (4 + -1y) = 5 + 7y + -12

Reorder the terms:
4 + 2y + -1y = 5 + 7y + -12

Combine like terms: 2y + -1y = 1y
4 + 1y = 5 + 7y + -12

Reorder the terms:
4 + 1y = 5 + -12 + 7y

Combine like terms: 5 + -12 = -7
4 + 1y = -7 + 7y

Solving
4 + 1y = -7 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
4 + 1y + -7y = -7 + 7y + -7y

Combine like terms: 1y + -7y = -6y
4 + -6y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
4 + -6y = -7 + 0
4 + -6y = -7

Add '-4' to each side of the equation.
4 + -4 + -6y = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -6y = -7 + -4
-6y = -7 + -4

Combine like terms: -7 + -4 = -11
-6y = -11

Divide each side by '-6'.
y = 1.833333333

Simplifying
y = 1.833333333

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