24y-(y-27)=1(y-54)

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Solution for 24y-(y-27)=1(y-54) equation:


Simplifying
24y + -1(y + -27) = 1(y + -54)

Reorder the terms:
24y + -1(-27 + y) = 1(y + -54)
24y + (-27 * -1 + y * -1) = 1(y + -54)
24y + (27 + -1y) = 1(y + -54)

Reorder the terms:
27 + 24y + -1y = 1(y + -54)

Combine like terms: 24y + -1y = 23y
27 + 23y = 1(y + -54)

Reorder the terms:
27 + 23y = 1(-54 + y)
27 + 23y = (-54 * 1 + y * 1)
27 + 23y = (-54 + 1y)

Solving
27 + 23y = -54 + 1y

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.
27 + 23y + -1y = -54 + 1y + -1y

Combine like terms: 23y + -1y = 22y
27 + 22y = -54 + 1y + -1y

Combine like terms: 1y + -1y = 0
27 + 22y = -54 + 0
27 + 22y = -54

Add '-27' to each side of the equation.
27 + -27 + 22y = -54 + -27

Combine like terms: 27 + -27 = 0
0 + 22y = -54 + -27
22y = -54 + -27

Combine like terms: -54 + -27 = -81
22y = -81

Divide each side by '22'.
y = -3.681818182

Simplifying
y = -3.681818182

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