2y+4(y-2)=7y-3(y-10)

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Solution for 2y+4(y-2)=7y-3(y-10) equation: 


Simplifying
2y + 4(y + -2) = 7y + -3(y + -10)

Reorder the terms:
2y + 4(-2 + y) = 7y + -3(y + -10)
2y + (-2 * 4 + y * 4) = 7y + -3(y + -10)
2y + (-8 + 4y) = 7y + -3(y + -10)

Reorder the terms:
-8 + 2y + 4y = 7y + -3(y + -10)

Combine like terms: 2y + 4y = 6y
-8 + 6y = 7y + -3(y + -10)

Reorder the terms:
-8 + 6y = 7y + -3(-10 + y)
-8 + 6y = 7y + (-10 * -3 + y * -3)
-8 + 6y = 7y + (30 + -3y)

Reorder the terms:
-8 + 6y = 30 + 7y + -3y

Combine like terms: 7y + -3y = 4y
-8 + 6y = 30 + 4y

Solving
-8 + 6y = 30 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-8 + 6y + -4y = 30 + 4y + -4y

Combine like terms: 6y + -4y = 2y
-8 + 2y = 30 + 4y + -4y

Combine like terms: 4y + -4y = 0
-8 + 2y = 30 + 0
-8 + 2y = 30

Add '8' to each side of the equation.
-8 + 8 + 2y = 30 + 8

Combine like terms: -8 + 8 = 0
0 + 2y = 30 + 8
2y = 30 + 8

Combine like terms: 30 + 8 = 38
2y = 38

Divide each side by '2'.
y = 19

Simplifying
y = 19

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