5(2y-3)=3(y+6)

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Solution for 5(2y-3)=3(y+6) equation:


Simplifying
5(2y + -3) = 3(y + 6)

Reorder the terms:
5(-3 + 2y) = 3(y + 6)
(-3 * 5 + 2y * 5) = 3(y + 6)
(-15 + 10y) = 3(y + 6)

Reorder the terms:
-15 + 10y = 3(6 + y)
-15 + 10y = (6 * 3 + y * 3)
-15 + 10y = (18 + 3y)

Solving
-15 + 10y = 18 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-15 + 10y + -3y = 18 + 3y + -3y

Combine like terms: 10y + -3y = 7y
-15 + 7y = 18 + 3y + -3y

Combine like terms: 3y + -3y = 0
-15 + 7y = 18 + 0
-15 + 7y = 18

Add '15' to each side of the equation.
-15 + 15 + 7y = 18 + 15

Combine like terms: -15 + 15 = 0
0 + 7y = 18 + 15
7y = 18 + 15

Combine like terms: 18 + 15 = 33
7y = 33

Divide each side by '7'.
y = 4.714285714

Simplifying
y = 4.714285714

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