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

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


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

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

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

Solving
-9 + 15y = 4 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-9 + 15y + -2y = 4 + 2y + -2y

Combine like terms: 15y + -2y = 13y
-9 + 13y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
-9 + 13y = 4 + 0
-9 + 13y = 4

Add '9' to each side of the equation.
-9 + 9 + 13y = 4 + 9

Combine like terms: -9 + 9 = 0
0 + 13y = 4 + 9
13y = 4 + 9

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

Divide each side by '13'.
y = 1

Simplifying
y = 1

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