8y-2(y+5)=2(y-1)

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Solution for 8y-2(y+5)=2(y-1) equation:


Simplifying
8y + -2(y + 5) = 2(y + -1)

Reorder the terms:
8y + -2(5 + y) = 2(y + -1)
8y + (5 * -2 + y * -2) = 2(y + -1)
8y + (-10 + -2y) = 2(y + -1)

Reorder the terms:
-10 + 8y + -2y = 2(y + -1)

Combine like terms: 8y + -2y = 6y
-10 + 6y = 2(y + -1)

Reorder the terms:
-10 + 6y = 2(-1 + y)
-10 + 6y = (-1 * 2 + y * 2)
-10 + 6y = (-2 + 2y)

Solving
-10 + 6y = -2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-10 + 6y + -2y = -2 + 2y + -2y

Combine like terms: 6y + -2y = 4y
-10 + 4y = -2 + 2y + -2y

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

Add '10' to each side of the equation.
-10 + 10 + 4y = -2 + 10

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

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

Divide each side by '4'.
y = 2

Simplifying
y = 2

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