y-(4-2y)=7(y-1)

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Solution for y-(4-2y)=7(y-1) equation:


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

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

Combine like terms: y + 2y = 3y
-4 + 3y = 7(y + -1)

Reorder the terms:
-4 + 3y = 7(-1 + y)
-4 + 3y = (-1 * 7 + y * 7)
-4 + 3y = (-7 + 7y)

Solving
-4 + 3y = -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 + 3y + -7y = -7 + 7y + -7y

Combine like terms: 3y + -7y = -4y
-4 + -4y = -7 + 7y + -7y

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

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

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

Combine like terms: -7 + 4 = -3
-4y = -3

Divide each side by '-4'.
y = 0.75

Simplifying
y = 0.75

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