5y-7=8+4(y-5)

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Solution for 5y-7=8+4(y-5) equation:


Simplifying
5y + -7 = 8 + 4(y + -5)

Reorder the terms:
-7 + 5y = 8 + 4(y + -5)

Reorder the terms:
-7 + 5y = 8 + 4(-5 + y)
-7 + 5y = 8 + (-5 * 4 + y * 4)
-7 + 5y = 8 + (-20 + 4y)

Combine like terms: 8 + -20 = -12
-7 + 5y = -12 + 4y

Solving
-7 + 5y = -12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-7 + 5y + -4y = -12 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-7 + 1y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-7 + 1y = -12 + 0
-7 + 1y = -12

Add '7' to each side of the equation.
-7 + 7 + 1y = -12 + 7

Combine like terms: -7 + 7 = 0
0 + 1y = -12 + 7
1y = -12 + 7

Combine like terms: -12 + 7 = -5
1y = -5

Divide each side by '1'.
y = -5

Simplifying
y = -5

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