17-3(5-2y)=8+4y

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Solution for 17-3(5-2y)=8+4y equation:


Simplifying
17 + -3(5 + -2y) = 8 + 4y
17 + (5 * -3 + -2y * -3) = 8 + 4y
17 + (-15 + 6y) = 8 + 4y

Combine like terms: 17 + -15 = 2
2 + 6y = 8 + 4y

Solving
2 + 6y = 8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
2 + 6y + -4y = 8 + 4y + -4y

Combine like terms: 6y + -4y = 2y
2 + 2y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + 2y = 8 + 0
2 + 2y = 8

Add '-2' to each side of the equation.
2 + -2 + 2y = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 2y = 8 + -2
2y = 8 + -2

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

Divide each side by '2'.
y = 3

Simplifying
y = 3

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