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

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


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

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

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

Combine like terms: -6 + 5 = -1
-1 + 3y = 2(3y + -5)

Reorder the terms:
-1 + 3y = 2(-5 + 3y)
-1 + 3y = (-5 * 2 + 3y * 2)
-1 + 3y = (-10 + 6y)

Solving
-1 + 3y = -10 + 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.
-1 + 3y + -6y = -10 + 6y + -6y

Combine like terms: 3y + -6y = -3y
-1 + -3y = -10 + 6y + -6y

Combine like terms: 6y + -6y = 0
-1 + -3y = -10 + 0
-1 + -3y = -10

Add '1' to each side of the equation.
-1 + 1 + -3y = -10 + 1

Combine like terms: -1 + 1 = 0
0 + -3y = -10 + 1
-3y = -10 + 1

Combine like terms: -10 + 1 = -9
-3y = -9

Divide each side by '-3'.
y = 3

Simplifying
y = 3

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