(8y)+(5*48)=((y+5)*23)

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Solution for (8y)+(5*48)=((y+5)*23) equation:


Simplifying
(8y) + (5 * 48) = ((y + 5) * 23)

Multiply 5 * 48
(8y) + (240) = ((y + 5) * 23)
(8y) + 240 = ((y + 5) * 23)

Reorder the terms:
240 + (8y) = ((y + 5) * 23)

Reorder the terms:
240 + (8y) = ((5 + y) * 23)

Reorder the terms for easier multiplication:
240 + (8y) = (23(5 + y))
240 + (8y) = ((5 * 23 + y * 23))
240 + (8y) = ((115 + 23y))
240 + (8y) = (115 + 23y)

Remove parenthesis around (115 + 23y)
240 + (8y) = 115 + 23y

Solving
240 + (8y) = 115 + 23y

Solving for variable 'y'.

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

Add '-23y' to each side of the equation.
240 + (8y) + -23y = 115 + 23y + -23y

Combine like terms: (8y) + -23y = -15y
240 + -15y = 115 + 23y + -23y

Combine like terms: 23y + -23y = 0
240 + -15y = 115 + 0
240 + -15y = 115

Add '-240' to each side of the equation.
240 + -240 + -15y = 115 + -240

Combine like terms: 240 + -240 = 0
0 + -15y = 115 + -240
-15y = 115 + -240

Combine like terms: 115 + -240 = -125
-15y = -125

Divide each side by '-15'.
y = 8.333333333

Simplifying
y = 8.333333333

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