33(y-45)=y+21

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Solution for 33(y-45)=y+21 equation: 


Simplifying
33(y + -45) = y + 21

Reorder the terms:
33(-45 + y) = y + 21
(-45 * 33 + y * 33) = y + 21
(-1485 + 33y) = y + 21

Reorder the terms:
-1485 + 33y = 21 + y

Solving
-1485 + 33y = 21 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-1485 + 33y + -1y = 21 + y + -1y

Combine like terms: 33y + -1y = 32y
-1485 + 32y = 21 + y + -1y

Combine like terms: y + -1y = 0
-1485 + 32y = 21 + 0
-1485 + 32y = 21

Add '1485' to each side of the equation.
-1485 + 1485 + 32y = 21 + 1485

Combine like terms: -1485 + 1485 = 0
0 + 32y = 21 + 1485
32y = 21 + 1485

Combine like terms: 21 + 1485 = 1506
32y = 1506

Divide each side by '32'.
y = 47.0625

Simplifying
y = 47.0625

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