180=(3y-5)+(y+75)

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Solution for 180=(3y-5)+(y+75) equation:


Simplifying
180 = (3y + -5) + (y + 75)

Reorder the terms:
180 = (-5 + 3y) + (y + 75)

Remove parenthesis around (-5 + 3y)
180 = -5 + 3y + (y + 75)

Reorder the terms:
180 = -5 + 3y + (75 + y)

Remove parenthesis around (75 + y)
180 = -5 + 3y + 75 + y

Reorder the terms:
180 = -5 + 75 + 3y + y

Combine like terms: -5 + 75 = 70
180 = 70 + 3y + y

Combine like terms: 3y + y = 4y
180 = 70 + 4y

Solving
180 = 70 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
180 + -4y = 70 + 4y + -4y

Combine like terms: 4y + -4y = 0
180 + -4y = 70 + 0
180 + -4y = 70

Add '-180' to each side of the equation.
180 + -180 + -4y = 70 + -180

Combine like terms: 180 + -180 = 0
0 + -4y = 70 + -180
-4y = 70 + -180

Combine like terms: 70 + -180 = -110
-4y = -110

Divide each side by '-4'.
y = 27.5

Simplifying
y = 27.5

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