13-3y=4(y-2)

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Solution for 13-3y=4(y-2) equation:


Simplifying
13 + -3y = 4(y + -2)

Reorder the terms:
13 + -3y = 4(-2 + y)
13 + -3y = (-2 * 4 + y * 4)
13 + -3y = (-8 + 4y)

Solving
13 + -3y = -8 + 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.
13 + -3y + -4y = -8 + 4y + -4y

Combine like terms: -3y + -4y = -7y
13 + -7y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
13 + -7y = -8 + 0
13 + -7y = -8

Add '-13' to each side of the equation.
13 + -13 + -7y = -8 + -13

Combine like terms: 13 + -13 = 0
0 + -7y = -8 + -13
-7y = -8 + -13

Combine like terms: -8 + -13 = -21
-7y = -21

Divide each side by '-7'.
y = 3

Simplifying
y = 3

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