3y-10=2(y-3)

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Solution for 3y-10=2(y-3) equation:


Simplifying
3y + -10 = 2(y + -3)

Reorder the terms:
-10 + 3y = 2(y + -3)

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

Solving
-10 + 3y = -6 + 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.
-10 + 3y + -2y = -6 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-10 + 1y = -6 + 2y + -2y

Combine like terms: 2y + -2y = 0
-10 + 1y = -6 + 0
-10 + 1y = -6

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

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

Combine like terms: -6 + 10 = 4
1y = 4

Divide each side by '1'.
y = 4

Simplifying
y = 4

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