y-4=2(y-7)

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


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

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

Reorder the terms:
-4 + y = 2(-7 + y)
-4 + y = (-7 * 2 + y * 2)
-4 + y = (-14 + 2y)

Solving
-4 + y = -14 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-4 + y + -2y = -14 + 2y + -2y

Combine like terms: y + -2y = -1y
-4 + -1y = -14 + 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + -1y = -14 + 0
-4 + -1y = -14

Add '4' to each side of the equation.
-4 + 4 + -1y = -14 + 4

Combine like terms: -4 + 4 = 0
0 + -1y = -14 + 4
-1y = -14 + 4

Combine like terms: -14 + 4 = -10
-1y = -10

Divide each side by '-1'.
y = 10

Simplifying
y = 10

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