2(y+1)=-3y+47

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Solution for 2(y+1)=-3y+47 equation: 


Simplifying
2(y + 1) = -3y + 47

Reorder the terms:
2(1 + y) = -3y + 47
(1 * 2 + y * 2) = -3y + 47
(2 + 2y) = -3y + 47

Reorder the terms:
2 + 2y = 47 + -3y

Solving
2 + 2y = 47 + -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.
2 + 2y + 3y = 47 + -3y + 3y

Combine like terms: 2y + 3y = 5y
2 + 5y = 47 + -3y + 3y

Combine like terms: -3y + 3y = 0
2 + 5y = 47 + 0
2 + 5y = 47

Add '-2' to each side of the equation.
2 + -2 + 5y = 47 + -2

Combine like terms: 2 + -2 = 0
0 + 5y = 47 + -2
5y = 47 + -2

Combine like terms: 47 + -2 = 45
5y = 45

Divide each side by '5'.
y = 9

Simplifying
y = 9

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