4y-3(y-5)+2=9

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Solution for 4y-3(y-5)+2=9 equation:


Simplifying
4y + -3(y + -5) + 2 = 9

Reorder the terms:
4y + -3(-5 + y) + 2 = 9
4y + (-5 * -3 + y * -3) + 2 = 9
4y + (15 + -3y) + 2 = 9

Reorder the terms:
15 + 2 + 4y + -3y = 9

Combine like terms: 15 + 2 = 17
17 + 4y + -3y = 9

Combine like terms: 4y + -3y = 1y
17 + 1y = 9

Solving
17 + 1y = 9

Solving for variable 'y'.

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

Add '-17' to each side of the equation.
17 + -17 + 1y = 9 + -17

Combine like terms: 17 + -17 = 0
0 + 1y = 9 + -17
1y = 9 + -17

Combine like terms: 9 + -17 = -8
1y = -8

Divide each side by '1'.
y = -8

Simplifying
y = -8

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