5y+10(y+3)+25(y+11)=505

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Solution for 5y+10(y+3)+25(y+11)=505 equation: 


Simplifying
5y + 10(y + 3) + 25(y + 11) = 505

Reorder the terms:
5y + 10(3 + y) + 25(y + 11) = 505
5y + (3 * 10 + y * 10) + 25(y + 11) = 505
5y + (30 + 10y) + 25(y + 11) = 505

Reorder the terms:
5y + 30 + 10y + 25(11 + y) = 505
5y + 30 + 10y + (11 * 25 + y * 25) = 505
5y + 30 + 10y + (275 + 25y) = 505

Reorder the terms:
30 + 275 + 5y + 10y + 25y = 505

Combine like terms: 30 + 275 = 305
305 + 5y + 10y + 25y = 505

Combine like terms: 5y + 10y = 15y
305 + 15y + 25y = 505

Combine like terms: 15y + 25y = 40y
305 + 40y = 505

Solving
305 + 40y = 505

Solving for variable 'y'.

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

Add '-305' to each side of the equation.
305 + -305 + 40y = 505 + -305

Combine like terms: 305 + -305 = 0
0 + 40y = 505 + -305
40y = 505 + -305

Combine like terms: 505 + -305 = 200
40y = 200

Divide each side by '40'.
y = 5

Simplifying
y = 5

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