5y+10(y+15)+25(y+10)=640

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Solution for 5y+10(y+15)+25(y+10)=640 equation:


Simplifying
5y + 10(y + 15) + 25(y + 10) = 640

Reorder the terms:
5y + 10(15 + y) + 25(y + 10) = 640
5y + (15 * 10 + y * 10) + 25(y + 10) = 640
5y + (150 + 10y) + 25(y + 10) = 640

Reorder the terms:
5y + 150 + 10y + 25(10 + y) = 640
5y + 150 + 10y + (10 * 25 + y * 25) = 640
5y + 150 + 10y + (250 + 25y) = 640

Reorder the terms:
150 + 250 + 5y + 10y + 25y = 640

Combine like terms: 150 + 250 = 400
400 + 5y + 10y + 25y = 640

Combine like terms: 5y + 10y = 15y
400 + 15y + 25y = 640

Combine like terms: 15y + 25y = 40y
400 + 40y = 640

Solving
400 + 40y = 640

Solving for variable 'y'.

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

Add '-400' to each side of the equation.
400 + -400 + 40y = 640 + -400

Combine like terms: 400 + -400 = 0
0 + 40y = 640 + -400
40y = 640 + -400

Combine like terms: 640 + -400 = 240
40y = 240

Divide each side by '40'.
y = 6

Simplifying
y = 6

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