4y+y=7(y-1)

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


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

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

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

Solving
5y = -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.
5y + -7y = -7 + 7y + -7y

Combine like terms: 5y + -7y = -2y
-2y = -7 + 7y + -7y

Combine like terms: 7y + -7y = 0
-2y = -7 + 0
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5

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