3y+10=2(3y-1)

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Solution for 3y+10=2(3y-1) equation:


Simplifying
3y + 10 = 2(3y + -1)

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

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

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

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

Combine like terms: 6y + -6y = 0
10 + -3y = -2 + 0
10 + -3y = -2

Add '-10' to each side of the equation.
10 + -10 + -3y = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = -2 + -10
-3y = -2 + -10

Combine like terms: -2 + -10 = -12
-3y = -12

Divide each side by '-3'.
y = 4

Simplifying
y = 4

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