3=2-5(3y-2)

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


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

Reorder the terms:
3 = 2 + -5(-2 + 3y)
3 = 2 + (-2 * -5 + 3y * -5)
3 = 2 + (10 + -15y)

Combine like terms: 2 + 10 = 12
3 = 12 + -15y

Solving
3 = 12 + -15y

Solving for variable 'y'.

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

Add '15y' to each side of the equation.
3 + 15y = 12 + -15y + 15y

Combine like terms: -15y + 15y = 0
3 + 15y = 12 + 0
3 + 15y = 12

Add '-3' to each side of the equation.
3 + -3 + 15y = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 15y = 12 + -3
15y = 12 + -3

Combine like terms: 12 + -3 = 9
15y = 9

Divide each side by '15'.
y = 0.6

Simplifying
y = 0.6

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