=2[(0.25y+35)+(0.75y+150)+(0.5y+75)]

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Solution for =2[(0.25y+35)+(0.75y+150)+(0.5y+75)] equation:


Simplifying
0 = 2[(0.25y + 35) + (0.75y + 150) + (0.5y + 75)]

Reorder the terms:
0 = 2[(35 + 0.25y) + (0.75y + 150) + (0.5y + 75)]

Remove parenthesis around (35 + 0.25y)
0 = 2[35 + 0.25y + (0.75y + 150) + (0.5y + 75)]

Reorder the terms:
0 = 2[35 + 0.25y + (150 + 0.75y) + (0.5y + 75)]

Remove parenthesis around (150 + 0.75y)
0 = 2[35 + 0.25y + 150 + 0.75y + (0.5y + 75)]

Reorder the terms:
0 = 2[35 + 0.25y + 150 + 0.75y + (75 + 0.5y)]

Remove parenthesis around (75 + 0.5y)
0 = 2[35 + 0.25y + 150 + 0.75y + 75 + 0.5y]

Reorder the terms:
0 = 2[35 + 150 + 75 + 0.25y + 0.75y + 0.5y]

Combine like terms: 35 + 150 = 185
0 = 2[185 + 75 + 0.25y + 0.75y + 0.5y]

Combine like terms: 185 + 75 = 260
0 = 2[260 + 0.25y + 0.75y + 0.5y]

Combine like terms: 0.25y + 0.75y = 1y
0 = 2[260 + 1y + 0.5y]

Combine like terms: 1y + 0.5y = 1.5y
0 = 2[260 + 1.5y]
0 = [260 * 2 + 1.5y * 2]
0 = [520 + 3y]

Solving
0 = 520 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
0 + -3y = 520 + 3y + -3y
Remove the zero:
-3y = 520 + 3y + -3y

Combine like terms: 3y + -3y = 0
-3y = 520 + 0
-3y = 520

Divide each side by '-3'.
y = -173.3333333

Simplifying
y = -173.3333333

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