3(y-5)=2(2y+1)

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Solution for 3(y-5)=2(2y+1) equation:


Simplifying
3(y + -5) = 2(2y + 1)

Reorder the terms:
3(-5 + y) = 2(2y + 1)
(-5 * 3 + y * 3) = 2(2y + 1)
(-15 + 3y) = 2(2y + 1)

Reorder the terms:
-15 + 3y = 2(1 + 2y)
-15 + 3y = (1 * 2 + 2y * 2)
-15 + 3y = (2 + 4y)

Solving
-15 + 3y = 2 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-15 + 3y + -4y = 2 + 4y + -4y

Combine like terms: 3y + -4y = -1y
-15 + -1y = 2 + 4y + -4y

Combine like terms: 4y + -4y = 0
-15 + -1y = 2 + 0
-15 + -1y = 2

Add '15' to each side of the equation.
-15 + 15 + -1y = 2 + 15

Combine like terms: -15 + 15 = 0
0 + -1y = 2 + 15
-1y = 2 + 15

Combine like terms: 2 + 15 = 17
-1y = 17

Divide each side by '-1'.
y = -17

Simplifying
y = -17

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