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

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


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

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

Reorder the terms:
-29 + 5y = -3(-3 + y)
-29 + 5y = (-3 * -3 + y * -3)
-29 + 5y = (9 + -3y)

Solving
-29 + 5y = 9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-29 + 5y + 3y = 9 + -3y + 3y

Combine like terms: 5y + 3y = 8y
-29 + 8y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
-29 + 8y = 9 + 0
-29 + 8y = 9

Add '29' to each side of the equation.
-29 + 29 + 8y = 9 + 29

Combine like terms: -29 + 29 = 0
0 + 8y = 9 + 29
8y = 9 + 29

Combine like terms: 9 + 29 = 38
8y = 38

Divide each side by '8'.
y = 4.75

Simplifying
y = 4.75

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