2y+5=3(9y-5)

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Solution for 2y+5=3(9y-5) equation:


Simplifying
2y + 5 = 3(9y + -5)

Reorder the terms:
5 + 2y = 3(9y + -5)

Reorder the terms:
5 + 2y = 3(-5 + 9y)
5 + 2y = (-5 * 3 + 9y * 3)
5 + 2y = (-15 + 27y)

Solving
5 + 2y = -15 + 27y

Solving for variable 'y'.

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

Add '-27y' to each side of the equation.
5 + 2y + -27y = -15 + 27y + -27y

Combine like terms: 2y + -27y = -25y
5 + -25y = -15 + 27y + -27y

Combine like terms: 27y + -27y = 0
5 + -25y = -15 + 0
5 + -25y = -15

Add '-5' to each side of the equation.
5 + -5 + -25y = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -25y = -15 + -5
-25y = -15 + -5

Combine like terms: -15 + -5 = -20
-25y = -20

Divide each side by '-25'.
y = 0.8

Simplifying
y = 0.8

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