2-3(y-5)=38

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Solution for 2-3(y-5)=38 equation:


Simplifying
2 + -3(y + -5) = 38

Reorder the terms:
2 + -3(-5 + y) = 38
2 + (-5 * -3 + y * -3) = 38
2 + (15 + -3y) = 38

Combine like terms: 2 + 15 = 17
17 + -3y = 38

Solving
17 + -3y = 38

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 + -3y = 38 + -17

Combine like terms: 17 + -17 = 0
0 + -3y = 38 + -17
-3y = 38 + -17

Combine like terms: 38 + -17 = 21
-3y = 21

Divide each side by '-3'.
y = -7

Simplifying
y = -7

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