2=-2y+5(y+4)

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Solution for 2=-2y+5(y+4) equation:


Simplifying
2 = -2y + 5(y + 4)

Reorder the terms:
2 = -2y + 5(4 + y)
2 = -2y + (4 * 5 + y * 5)
2 = -2y + (20 + 5y)

Reorder the terms:
2 = 20 + -2y + 5y

Combine like terms: -2y + 5y = 3y
2 = 20 + 3y

Solving
2 = 20 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2 + -3y = 20 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + -3y = 20 + 0
2 + -3y = 20

Add '-2' to each side of the equation.
2 + -2 + -3y = 20 + -2

Combine like terms: 2 + -2 = 0
0 + -3y = 20 + -2
-3y = 20 + -2

Combine like terms: 20 + -2 = 18
-3y = 18

Divide each side by '-3'.
y = -6

Simplifying
y = -6

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