3(y-3)-8=y+5

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


Simplifying
3(y + -3) + -8 = y + 5

Reorder the terms:
3(-3 + y) + -8 = y + 5
(-3 * 3 + y * 3) + -8 = y + 5
(-9 + 3y) + -8 = y + 5

Reorder the terms:
-9 + -8 + 3y = y + 5

Combine like terms: -9 + -8 = -17
-17 + 3y = y + 5

Reorder the terms:
-17 + 3y = 5 + y

Solving
-17 + 3y = 5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-17 + 3y + -1y = 5 + y + -1y

Combine like terms: 3y + -1y = 2y
-17 + 2y = 5 + y + -1y

Combine like terms: y + -1y = 0
-17 + 2y = 5 + 0
-17 + 2y = 5

Add '17' to each side of the equation.
-17 + 17 + 2y = 5 + 17

Combine like terms: -17 + 17 = 0
0 + 2y = 5 + 17
2y = 5 + 17

Combine like terms: 5 + 17 = 22
2y = 22

Divide each side by '2'.
y = 11

Simplifying
y = 11

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