2(y-4)-7y=-33

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Solution for 2(y-4)-7y=-33 equation:


Simplifying
2(y + -4) + -7y = -33

Reorder the terms:
2(-4 + y) + -7y = -33
(-4 * 2 + y * 2) + -7y = -33
(-8 + 2y) + -7y = -33

Combine like terms: 2y + -7y = -5y
-8 + -5y = -33

Solving
-8 + -5y = -33

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + -5y = -33 + 8

Combine like terms: -8 + 8 = 0
0 + -5y = -33 + 8
-5y = -33 + 8

Combine like terms: -33 + 8 = -25
-5y = -25

Divide each side by '-5'.
y = 5

Simplifying
y = 5

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