5y-8=9+4(y-5)

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Solution for 5y-8=9+4(y-5) equation:


Simplifying
5y + -8 = 9 + 4(y + -5)

Reorder the terms:
-8 + 5y = 9 + 4(y + -5)

Reorder the terms:
-8 + 5y = 9 + 4(-5 + y)
-8 + 5y = 9 + (-5 * 4 + y * 4)
-8 + 5y = 9 + (-20 + 4y)

Combine like terms: 9 + -20 = -11
-8 + 5y = -11 + 4y

Solving
-8 + 5y = -11 + 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.
-8 + 5y + -4y = -11 + 4y + -4y

Combine like terms: 5y + -4y = 1y
-8 + 1y = -11 + 4y + -4y

Combine like terms: 4y + -4y = 0
-8 + 1y = -11 + 0
-8 + 1y = -11

Add '8' to each side of the equation.
-8 + 8 + 1y = -11 + 8

Combine like terms: -8 + 8 = 0
0 + 1y = -11 + 8
1y = -11 + 8

Combine like terms: -11 + 8 = -3
1y = -3

Divide each side by '1'.
y = -3

Simplifying
y = -3

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