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

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


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

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

Reorder the terms:
9 + 15y = 2(-2 + 3y)
9 + 15y = (-2 * 2 + 3y * 2)
9 + 15y = (-4 + 6y)

Solving
9 + 15y = -4 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
9 + 15y + -6y = -4 + 6y + -6y

Combine like terms: 15y + -6y = 9y
9 + 9y = -4 + 6y + -6y

Combine like terms: 6y + -6y = 0
9 + 9y = -4 + 0
9 + 9y = -4

Add '-9' to each side of the equation.
9 + -9 + 9y = -4 + -9

Combine like terms: 9 + -9 = 0
0 + 9y = -4 + -9
9y = -4 + -9

Combine like terms: -4 + -9 = -13
9y = -13

Divide each side by '9'.
y = -1.444444444

Simplifying
y = -1.444444444

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