5y+10(y+8)=200

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Solution for 5y+10(y+8)=200 equation:


Simplifying
5y + 10(y + 8) = 200

Reorder the terms:
5y + 10(8 + y) = 200
5y + (8 * 10 + y * 10) = 200
5y + (80 + 10y) = 200

Reorder the terms:
80 + 5y + 10y = 200

Combine like terms: 5y + 10y = 15y
80 + 15y = 200

Solving
80 + 15y = 200

Solving for variable 'y'.

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

Add '-80' to each side of the equation.
80 + -80 + 15y = 200 + -80

Combine like terms: 80 + -80 = 0
0 + 15y = 200 + -80
15y = 200 + -80

Combine like terms: 200 + -80 = 120
15y = 120

Divide each side by '15'.
y = 8

Simplifying
y = 8

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