(6y+8)+(6(48+-1.75y)-26)=180

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Solution for (6y+8)+(6(48+-1.75y)-26)=180 equation: 


Simplifying
(6y + 8) + (6(48 + -1.75y) + -26) = 180

Reorder the terms:
(8 + 6y) + (6(48 + -1.75y) + -26) = 180

Remove parenthesis around (8 + 6y)
8 + 6y + (6(48 + -1.75y) + -26) = 180
8 + 6y + ((48 * 6 + -1.75y * 6) + -26) = 180
8 + 6y + ((288 + -10.5y) + -26) = 180

Reorder the terms:
8 + 6y + (288 + -26 + -10.5y) = 180

Combine like terms: 288 + -26 = 262
8 + 6y + (262 + -10.5y) = 180

Remove parenthesis around (262 + -10.5y)
8 + 6y + 262 + -10.5y = 180

Reorder the terms:
8 + 262 + 6y + -10.5y = 180

Combine like terms: 8 + 262 = 270
270 + 6y + -10.5y = 180

Combine like terms: 6y + -10.5y = -4.5y
270 + -4.5y = 180

Solving
270 + -4.5y = 180

Solving for variable 'y'.

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

Add '-270' to each side of the equation.
270 + -270 + -4.5y = 180 + -270

Combine like terms: 270 + -270 = 0
0 + -4.5y = 180 + -270
-4.5y = 180 + -270

Combine like terms: 180 + -270 = -90
-4.5y = -90

Divide each side by '-4.5'.
y = 20

Simplifying
y = 20

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