4y+3(y-6)=7y-2(y-10)

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Solution for 4y+3(y-6)=7y-2(y-10) equation:


Simplifying
4y + 3(y + -6) = 7y + -2(y + -10)

Reorder the terms:
4y + 3(-6 + y) = 7y + -2(y + -10)
4y + (-6 * 3 + y * 3) = 7y + -2(y + -10)
4y + (-18 + 3y) = 7y + -2(y + -10)

Reorder the terms:
-18 + 4y + 3y = 7y + -2(y + -10)

Combine like terms: 4y + 3y = 7y
-18 + 7y = 7y + -2(y + -10)

Reorder the terms:
-18 + 7y = 7y + -2(-10 + y)
-18 + 7y = 7y + (-10 * -2 + y * -2)
-18 + 7y = 7y + (20 + -2y)

Reorder the terms:
-18 + 7y = 20 + 7y + -2y

Combine like terms: 7y + -2y = 5y
-18 + 7y = 20 + 5y

Solving
-18 + 7y = 20 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-18 + 7y + -5y = 20 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-18 + 2y = 20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-18 + 2y = 20 + 0
-18 + 2y = 20

Add '18' to each side of the equation.
-18 + 18 + 2y = 20 + 18

Combine like terms: -18 + 18 = 0
0 + 2y = 20 + 18
2y = 20 + 18

Combine like terms: 20 + 18 = 38
2y = 38

Divide each side by '2'.
y = 19

Simplifying
y = 19

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