3y+5(y-6)=8y-2(y-10)

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Solution for 3y+5(y-6)=8y-2(y-10) equation:


Simplifying
3y + 5(y + -6) = 8y + -2(y + -10)

Reorder the terms:
3y + 5(-6 + y) = 8y + -2(y + -10)
3y + (-6 * 5 + y * 5) = 8y + -2(y + -10)
3y + (-30 + 5y) = 8y + -2(y + -10)

Reorder the terms:
-30 + 3y + 5y = 8y + -2(y + -10)

Combine like terms: 3y + 5y = 8y
-30 + 8y = 8y + -2(y + -10)

Reorder the terms:
-30 + 8y = 8y + -2(-10 + y)
-30 + 8y = 8y + (-10 * -2 + y * -2)
-30 + 8y = 8y + (20 + -2y)

Reorder the terms:
-30 + 8y = 20 + 8y + -2y

Combine like terms: 8y + -2y = 6y
-30 + 8y = 20 + 6y

Solving
-30 + 8y = 20 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-30 + 8y + -6y = 20 + 6y + -6y

Combine like terms: 8y + -6y = 2y
-30 + 2y = 20 + 6y + -6y

Combine like terms: 6y + -6y = 0
-30 + 2y = 20 + 0
-30 + 2y = 20

Add '30' to each side of the equation.
-30 + 30 + 2y = 20 + 30

Combine like terms: -30 + 30 = 0
0 + 2y = 20 + 30
2y = 20 + 30

Combine like terms: 20 + 30 = 50
2y = 50

Divide each side by '2'.
y = 25

Simplifying
y = 25

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