5y+10(y+6)+25(y+2)=310

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Solution for 5y+10(y+6)+25(y+2)=310 equation: 


Simplifying
5y + 10(y + 6) + 25(y + 2) = 310

Reorder the terms:
5y + 10(6 + y) + 25(y + 2) = 310
5y + (6 * 10 + y * 10) + 25(y + 2) = 310
5y + (60 + 10y) + 25(y + 2) = 310

Reorder the terms:
5y + 60 + 10y + 25(2 + y) = 310
5y + 60 + 10y + (2 * 25 + y * 25) = 310
5y + 60 + 10y + (50 + 25y) = 310

Reorder the terms:
60 + 50 + 5y + 10y + 25y = 310

Combine like terms: 60 + 50 = 110
110 + 5y + 10y + 25y = 310

Combine like terms: 5y + 10y = 15y
110 + 15y + 25y = 310

Combine like terms: 15y + 25y = 40y
110 + 40y = 310

Solving
110 + 40y = 310

Solving for variable 'y'.

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

Add '-110' to each side of the equation.
110 + -110 + 40y = 310 + -110

Combine like terms: 110 + -110 = 0
0 + 40y = 310 + -110
40y = 310 + -110

Combine like terms: 310 + -110 = 200
40y = 200

Divide each side by '40'.
y = 5

Simplifying
y = 5

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