8y-4=5(y+7)

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


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

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

Reorder the terms:
-4 + 8y = 5(7 + y)
-4 + 8y = (7 * 5 + y * 5)
-4 + 8y = (35 + 5y)

Solving
-4 + 8y = 35 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-4 + 8y + -5y = 35 + 5y + -5y

Combine like terms: 8y + -5y = 3y
-4 + 3y = 35 + 5y + -5y

Combine like terms: 5y + -5y = 0
-4 + 3y = 35 + 0
-4 + 3y = 35

Add '4' to each side of the equation.
-4 + 4 + 3y = 35 + 4

Combine like terms: -4 + 4 = 0
0 + 3y = 35 + 4
3y = 35 + 4

Combine like terms: 35 + 4 = 39
3y = 39

Divide each side by '3'.
y = 13

Simplifying
y = 13

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