7(-6+3y)=-84

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Solution for 7(-6+3y)=-84 equation: 


Simplifying
7(-6 + 3y) = -84
(-6 * 7 + 3y * 7) = -84
(-42 + 21y) = -84

Solving
-42 + 21y = -84

Solving for variable 'y'.

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

Add '42' to each side of the equation.
-42 + 42 + 21y = -84 + 42

Combine like terms: -42 + 42 = 0
0 + 21y = -84 + 42
21y = -84 + 42

Combine like terms: -84 + 42 = -42
21y = -42

Divide each side by '21'.
y = -2

Simplifying
y = -2

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