3(2y+3)=5y+8

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Solution for 3(2y+3)=5y+8 equation:


Simplifying
3(2y + 3) = 5y + 8

Reorder the terms:
3(3 + 2y) = 5y + 8
(3 * 3 + 2y * 3) = 5y + 8
(9 + 6y) = 5y + 8

Reorder the terms:
9 + 6y = 8 + 5y

Solving
9 + 6y = 8 + 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.
9 + 6y + -5y = 8 + 5y + -5y

Combine like terms: 6y + -5y = 1y
9 + 1y = 8 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + 1y = 8 + 0
9 + 1y = 8

Add '-9' to each side of the equation.
9 + -9 + 1y = 8 + -9

Combine like terms: 9 + -9 = 0
0 + 1y = 8 + -9
1y = 8 + -9

Combine like terms: 8 + -9 = -1
1y = -1

Divide each side by '1'.
y = -1

Simplifying
y = -1

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