10=10(y-5)+5y

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Solution for 10=10(y-5)+5y equation:


Simplifying
10 = 10(y + -5) + 5y

Reorder the terms:
10 = 10(-5 + y) + 5y
10 = (-5 * 10 + y * 10) + 5y
10 = (-50 + 10y) + 5y

Combine like terms: 10y + 5y = 15y
10 = -50 + 15y

Solving
10 = -50 + 15y

Solving for variable 'y'.

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

Add '-15y' to each side of the equation.
10 + -15y = -50 + 15y + -15y

Combine like terms: 15y + -15y = 0
10 + -15y = -50 + 0
10 + -15y = -50

Add '-10' to each side of the equation.
10 + -10 + -15y = -50 + -10

Combine like terms: 10 + -10 = 0
0 + -15y = -50 + -10
-15y = -50 + -10

Combine like terms: -50 + -10 = -60
-15y = -60

Divide each side by '-15'.
y = 4

Simplifying
y = 4

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