4y-17=-2(5-y)

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Solution for 4y-17=-2(5-y) equation:


Simplifying
4y + -17 = -2(5 + -1y)

Reorder the terms:
-17 + 4y = -2(5 + -1y)
-17 + 4y = (5 * -2 + -1y * -2)
-17 + 4y = (-10 + 2y)

Solving
-17 + 4y = -10 + 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.
-17 + 4y + -2y = -10 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-17 + 2y = -10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-17 + 2y = -10 + 0
-17 + 2y = -10

Add '17' to each side of the equation.
-17 + 17 + 2y = -10 + 17

Combine like terms: -17 + 17 = 0
0 + 2y = -10 + 17
2y = -10 + 17

Combine like terms: -10 + 17 = 7
2y = 7

Divide each side by '2'.
y = 3.5

Simplifying
y = 3.5

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