5-3(y-4)=-2

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


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

Reorder the terms:
5 + -3(-4 + y) = -2
5 + (-4 * -3 + y * -3) = -2
5 + (12 + -3y) = -2

Combine like terms: 5 + 12 = 17
17 + -3y = -2

Solving
17 + -3y = -2

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 = -2 + -17

Combine like terms: 17 + -17 = 0
0 + -3y = -2 + -17
-3y = -2 + -17

Combine like terms: -2 + -17 = -19
-3y = -19

Divide each side by '-3'.
y = 6.333333333

Simplifying
y = 6.333333333

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