y-2=33(y+6)

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Solution for y-2=33(y+6) equation:


Simplifying
y + -2 = 33(y + 6)

Reorder the terms:
-2 + y = 33(y + 6)

Reorder the terms:
-2 + y = 33(6 + y)
-2 + y = (6 * 33 + y * 33)
-2 + y = (198 + 33y)

Solving
-2 + y = 198 + 33y

Solving for variable 'y'.

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

Add '-33y' to each side of the equation.
-2 + y + -33y = 198 + 33y + -33y

Combine like terms: y + -33y = -32y
-2 + -32y = 198 + 33y + -33y

Combine like terms: 33y + -33y = 0
-2 + -32y = 198 + 0
-2 + -32y = 198

Add '2' to each side of the equation.
-2 + 2 + -32y = 198 + 2

Combine like terms: -2 + 2 = 0
0 + -32y = 198 + 2
-32y = 198 + 2

Combine like terms: 198 + 2 = 200
-32y = 200

Divide each side by '-32'.
y = -6.25

Simplifying
y = -6.25

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