8y-4=5(2y+6)

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Solution for 8y-4=5(2y+6) equation:


Simplifying
8y + -4 = 5(2y + 6)

Reorder the terms:
-4 + 8y = 5(2y + 6)

Reorder the terms:
-4 + 8y = 5(6 + 2y)
-4 + 8y = (6 * 5 + 2y * 5)
-4 + 8y = (30 + 10y)

Solving
-4 + 8y = 30 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
-4 + 8y + -10y = 30 + 10y + -10y

Combine like terms: 8y + -10y = -2y
-4 + -2y = 30 + 10y + -10y

Combine like terms: 10y + -10y = 0
-4 + -2y = 30 + 0
-4 + -2y = 30

Add '4' to each side of the equation.
-4 + 4 + -2y = 30 + 4

Combine like terms: -4 + 4 = 0
0 + -2y = 30 + 4
-2y = 30 + 4

Combine like terms: 30 + 4 = 34
-2y = 34

Divide each side by '-2'.
y = -17

Simplifying
y = -17

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