8=7y-4(y-1)

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Solution for 8=7y-4(y-1) equation:


Simplifying
8 = 7y + -4(y + -1)

Reorder the terms:
8 = 7y + -4(-1 + y)
8 = 7y + (-1 * -4 + y * -4)
8 = 7y + (4 + -4y)

Reorder the terms:
8 = 4 + 7y + -4y

Combine like terms: 7y + -4y = 3y
8 = 4 + 3y

Solving
8 = 4 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
8 + -3y = 4 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + -3y = 4 + 0
8 + -3y = 4

Add '-8' to each side of the equation.
8 + -8 + -3y = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -3y = 4 + -8
-3y = 4 + -8

Combine like terms: 4 + -8 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333

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