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

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


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

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

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

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

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

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

Solving for variable 'u'.

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

Add '1' to each side of the equation.
-1 + 1 + 3u = -10 + 1 + 6y

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

Combine like terms: -10 + 1 = -9
3u = -9 + 6y

Divide each side by '3'.
u = -3 + 2y

Simplifying
u = -3 + 2y

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