2(3y+5)=5(y+1)

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Solution for 2(3y+5)=5(y+1) equation: 


Simplifying
2(3y + 5) = 5(y + 1)

Reorder the terms:
2(5 + 3y) = 5(y + 1)
(5 * 2 + 3y * 2) = 5(y + 1)
(10 + 6y) = 5(y + 1)

Reorder the terms:
10 + 6y = 5(1 + y)
10 + 6y = (1 * 5 + y * 5)
10 + 6y = (5 + 5y)

Solving
10 + 6y = 5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
10 + 6y + -5y = 5 + 5y + -5y

Combine like terms: 6y + -5y = 1y
10 + 1y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + 1y = 5 + 0
10 + 1y = 5

Add '-10' to each side of the equation.
10 + -10 + 1y = 5 + -10

Combine like terms: 10 + -10 = 0
0 + 1y = 5 + -10
1y = 5 + -10

Combine like terms: 5 + -10 = -5
1y = -5

Divide each side by '1'.
y = -5

Simplifying
y = -5

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