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

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


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

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

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 2y = -6 + -2

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

Combine like terms: -6 + -2 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

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