5(y+10)+y=3(y+5)+2

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Solution for 5(y+10)+y=3(y+5)+2 equation: 


Simplifying
5(y + 10) + y = 3(y + 5) + 2

Reorder the terms:
5(10 + y) + y = 3(y + 5) + 2
(10 * 5 + y * 5) + y = 3(y + 5) + 2
(50 + 5y) + y = 3(y + 5) + 2

Combine like terms: 5y + y = 6y
50 + 6y = 3(y + 5) + 2

Reorder the terms:
50 + 6y = 3(5 + y) + 2
50 + 6y = (5 * 3 + y * 3) + 2
50 + 6y = (15 + 3y) + 2

Reorder the terms:
50 + 6y = 15 + 2 + 3y

Combine like terms: 15 + 2 = 17
50 + 6y = 17 + 3y

Solving
50 + 6y = 17 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
50 + 6y + -3y = 17 + 3y + -3y

Combine like terms: 6y + -3y = 3y
50 + 3y = 17 + 3y + -3y

Combine like terms: 3y + -3y = 0
50 + 3y = 17 + 0
50 + 3y = 17

Add '-50' to each side of the equation.
50 + -50 + 3y = 17 + -50

Combine like terms: 50 + -50 = 0
0 + 3y = 17 + -50
3y = 17 + -50

Combine like terms: 17 + -50 = -33
3y = -33

Divide each side by '3'.
y = -11

Simplifying
y = -11

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