2(2y+3)=9y-15

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Solution for 2(2y+3)=9y-15 equation:


Simplifying
2(2y + 3) = 9y + -15

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

Reorder the terms:
6 + 4y = -15 + 9y

Solving
6 + 4y = -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.
6 + 4y + -9y = -15 + 9y + -9y

Combine like terms: 4y + -9y = -5y
6 + -5y = -15 + 9y + -9y

Combine like terms: 9y + -9y = 0
6 + -5y = -15 + 0
6 + -5y = -15

Add '-6' to each side of the equation.
6 + -6 + -5y = -15 + -6

Combine like terms: 6 + -6 = 0
0 + -5y = -15 + -6
-5y = -15 + -6

Combine like terms: -15 + -6 = -21
-5y = -21

Divide each side by '-5'.
y = 4.2

Simplifying
y = 4.2

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