3y-29=5(y-3)

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Solution for 3y-29=5(y-3) equation:


Simplifying
3y + -29 = 5(y + -3)

Reorder the terms:
-29 + 3y = 5(y + -3)

Reorder the terms:
-29 + 3y = 5(-3 + y)
-29 + 3y = (-3 * 5 + y * 5)
-29 + 3y = (-15 + 5y)

Solving
-29 + 3y = -15 + 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.
-29 + 3y + -5y = -15 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-29 + -2y = -15 + 5y + -5y

Combine like terms: 5y + -5y = 0
-29 + -2y = -15 + 0
-29 + -2y = -15

Add '29' to each side of the equation.
-29 + 29 + -2y = -15 + 29

Combine like terms: -29 + 29 = 0
0 + -2y = -15 + 29
-2y = -15 + 29

Combine like terms: -15 + 29 = 14
-2y = 14

Divide each side by '-2'.
y = -7

Simplifying
y = -7

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