84(y-15)=y+(-55)

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Solution for 84(y-15)=y+(-55) equation:


Simplifying
84(y + -15) = y + (-55)

Reorder the terms:
84(-15 + y) = y + (-55)
(-15 * 84 + y * 84) = y + (-55)
(-1260 + 84y) = y + (-55)
-1260 + 84y = y + -55

Reorder the terms:
-1260 + 84y = -55 + y

Solving
-1260 + 84y = -55 + 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.
-1260 + 84y + -1y = -55 + y + -1y

Combine like terms: 84y + -1y = 83y
-1260 + 83y = -55 + y + -1y

Combine like terms: y + -1y = 0
-1260 + 83y = -55 + 0
-1260 + 83y = -55

Add '1260' to each side of the equation.
-1260 + 1260 + 83y = -55 + 1260

Combine like terms: -1260 + 1260 = 0
0 + 83y = -55 + 1260
83y = -55 + 1260

Combine like terms: -55 + 1260 = 1205
83y = 1205

Divide each side by '83'.
y = 14.51807229

Simplifying
y = 14.51807229

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