33(y+7)=3(y-1)

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Solution for 33(y+7)=3(y-1) equation:


Simplifying
33(y + 7) = 3(y + -1)

Reorder the terms:
33(7 + y) = 3(y + -1)
(7 * 33 + y * 33) = 3(y + -1)
(231 + 33y) = 3(y + -1)

Reorder the terms:
231 + 33y = 3(-1 + y)
231 + 33y = (-1 * 3 + y * 3)
231 + 33y = (-3 + 3y)

Solving
231 + 33y = -3 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
231 + 33y + -3y = -3 + 3y + -3y

Combine like terms: 33y + -3y = 30y
231 + 30y = -3 + 3y + -3y

Combine like terms: 3y + -3y = 0
231 + 30y = -3 + 0
231 + 30y = -3

Add '-231' to each side of the equation.
231 + -231 + 30y = -3 + -231

Combine like terms: 231 + -231 = 0
0 + 30y = -3 + -231
30y = -3 + -231

Combine like terms: -3 + -231 = -234
30y = -234

Divide each side by '30'.
y = -7.8

Simplifying
y = -7.8

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