7(4-24)=84-28y

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Solution for 7(4-24)=84-28y equation:


Simplifying
7(4 + -24) = 84 + -28y

Combine like terms: 4 + -24 = -20
7(-20) = 84 + -28y

Multiply 7 * -20
-140 = 84 + -28y

Solving
-140 = 84 + -28y

Solving for variable 'y'.

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

Add '28y' to each side of the equation.
-140 + 28y = 84 + -28y + 28y

Combine like terms: -28y + 28y = 0
-140 + 28y = 84 + 0
-140 + 28y = 84

Add '140' to each side of the equation.
-140 + 140 + 28y = 84 + 140

Combine like terms: -140 + 140 = 0
0 + 28y = 84 + 140
28y = 84 + 140

Combine like terms: 84 + 140 = 224
28y = 224

Divide each side by '28'.
y = 8

Simplifying
y = 8

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