2y+5(y+4)=4y-2(y-10)

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Solution for 2y+5(y+4)=4y-2(y-10) equation: 


Simplifying
2y + 5(y + 4) = 4y + -2(y + -10)

Reorder the terms:
2y + 5(4 + y) = 4y + -2(y + -10)
2y + (4 * 5 + y * 5) = 4y + -2(y + -10)
2y + (20 + 5y) = 4y + -2(y + -10)

Reorder the terms:
20 + 2y + 5y = 4y + -2(y + -10)

Combine like terms: 2y + 5y = 7y
20 + 7y = 4y + -2(y + -10)

Reorder the terms:
20 + 7y = 4y + -2(-10 + y)
20 + 7y = 4y + (-10 * -2 + y * -2)
20 + 7y = 4y + (20 + -2y)

Reorder the terms:
20 + 7y = 20 + 4y + -2y

Combine like terms: 4y + -2y = 2y
20 + 7y = 20 + 2y

Add '-20' to each side of the equation.
20 + -20 + 7y = 20 + -20 + 2y

Combine like terms: 20 + -20 = 0
0 + 7y = 20 + -20 + 2y
7y = 20 + -20 + 2y

Combine like terms: 20 + -20 = 0
7y = 0 + 2y
7y = 2y

Solving
7y = 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.
7y + -2y = 2y + -2y

Combine like terms: 7y + -2y = 5y
5y = 2y + -2y

Combine like terms: 2y + -2y = 0
5y = 0

Divide each side by '5'.
y = 0

Simplifying
y = 0

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