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

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


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

Reorder the terms:
2(-4 + y) + -3 = (y + -7)
(-4 * 2 + y * 2) + -3 = (y + -7)
(-8 + 2y) + -3 = (y + -7)

Reorder the terms:
-8 + -3 + 2y = (y + -7)

Combine like terms: -8 + -3 = -11
-11 + 2y = (y + -7)

Reorder the terms:
-11 + 2y = (-7 + y)

Remove parenthesis around (-7 + y)
-11 + 2y = -7 + y

Solving
-11 + 2y = -7 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-11 + 2y + -1y = -7 + y + -1y

Combine like terms: 2y + -1y = 1y
-11 + 1y = -7 + y + -1y

Combine like terms: y + -1y = 0
-11 + 1y = -7 + 0
-11 + 1y = -7

Add '11' to each side of the equation.
-11 + 11 + 1y = -7 + 11

Combine like terms: -11 + 11 = 0
0 + 1y = -7 + 11
1y = -7 + 11

Combine like terms: -7 + 11 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4

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