4y-(y-13)=y+9

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Solution for 4y-(y-13)=y+9 equation:


Simplifying
4y + -1(y + -13) = y + 9

Reorder the terms:
4y + -1(-13 + y) = y + 9
4y + (-13 * -1 + y * -1) = y + 9
4y + (13 + -1y) = y + 9

Reorder the terms:
13 + 4y + -1y = y + 9

Combine like terms: 4y + -1y = 3y
13 + 3y = y + 9

Reorder the terms:
13 + 3y = 9 + y

Solving
13 + 3y = 9 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
13 + 3y + -1y = 9 + y + -1y

Combine like terms: 3y + -1y = 2y
13 + 2y = 9 + y + -1y

Combine like terms: y + -1y = 0
13 + 2y = 9 + 0
13 + 2y = 9

Add '-13' to each side of the equation.
13 + -13 + 2y = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 2y = 9 + -13
2y = 9 + -13

Combine like terms: 9 + -13 = -4
2y = -4

Divide each side by '2'.
y = -2

Simplifying
y = -2

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