30=4y+5(y-3)

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Solution for 30=4y+5(y-3) equation:


Simplifying
30 = 4y + 5(y + -3)

Reorder the terms:
30 = 4y + 5(-3 + y)
30 = 4y + (-3 * 5 + y * 5)
30 = 4y + (-15 + 5y)

Reorder the terms:
30 = -15 + 4y + 5y

Combine like terms: 4y + 5y = 9y
30 = -15 + 9y

Solving
30 = -15 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
30 + -9y = -15 + 9y + -9y

Combine like terms: 9y + -9y = 0
30 + -9y = -15 + 0
30 + -9y = -15

Add '-30' to each side of the equation.
30 + -30 + -9y = -15 + -30

Combine like terms: 30 + -30 = 0
0 + -9y = -15 + -30
-9y = -15 + -30

Combine like terms: -15 + -30 = -45
-9y = -45

Divide each side by '-9'.
y = 5

Simplifying
y = 5

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