4(y+6)-7y=33

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Solution for 4(y+6)-7y=33 equation:


Simplifying
4(y + 6) + -7y = 33

Reorder the terms:
4(6 + y) + -7y = 33
(6 * 4 + y * 4) + -7y = 33
(24 + 4y) + -7y = 33

Combine like terms: 4y + -7y = -3y
24 + -3y = 33

Solving
24 + -3y = 33

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -24 + -3y = 33 + -24

Combine like terms: 24 + -24 = 0
0 + -3y = 33 + -24
-3y = 33 + -24

Combine like terms: 33 + -24 = 9
-3y = 9

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

Simplifying
y = -3

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