4y-(6y+13)=2-(7y-8)

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Solution for 4y-(6y+13)=2-(7y-8) equation:


Simplifying
4y + -1(6y + 13) = 2 + -1(7y + -8)

Reorder the terms:
4y + -1(13 + 6y) = 2 + -1(7y + -8)
4y + (13 * -1 + 6y * -1) = 2 + -1(7y + -8)
4y + (-13 + -6y) = 2 + -1(7y + -8)

Reorder the terms:
-13 + 4y + -6y = 2 + -1(7y + -8)

Combine like terms: 4y + -6y = -2y
-13 + -2y = 2 + -1(7y + -8)

Reorder the terms:
-13 + -2y = 2 + -1(-8 + 7y)
-13 + -2y = 2 + (-8 * -1 + 7y * -1)
-13 + -2y = 2 + (8 + -7y)

Combine like terms: 2 + 8 = 10
-13 + -2y = 10 + -7y

Solving
-13 + -2y = 10 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
-13 + -2y + 7y = 10 + -7y + 7y

Combine like terms: -2y + 7y = 5y
-13 + 5y = 10 + -7y + 7y

Combine like terms: -7y + 7y = 0
-13 + 5y = 10 + 0
-13 + 5y = 10

Add '13' to each side of the equation.
-13 + 13 + 5y = 10 + 13

Combine like terms: -13 + 13 = 0
0 + 5y = 10 + 13
5y = 10 + 13

Combine like terms: 10 + 13 = 23
5y = 23

Divide each side by '5'.
y = 4.6

Simplifying
y = 4.6

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