4y+31=3(y+2)+7

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Solution for 4y+31=3(y+2)+7 equation: 


Simplifying
4y + 31 = 3(y + 2) + 7

Reorder the terms:
31 + 4y = 3(y + 2) + 7

Reorder the terms:
31 + 4y = 3(2 + y) + 7
31 + 4y = (2 * 3 + y * 3) + 7
31 + 4y = (6 + 3y) + 7

Reorder the terms:
31 + 4y = 6 + 7 + 3y

Combine like terms: 6 + 7 = 13
31 + 4y = 13 + 3y

Solving
31 + 4y = 13 + 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.
31 + 4y + -3y = 13 + 3y + -3y

Combine like terms: 4y + -3y = 1y
31 + 1y = 13 + 3y + -3y

Combine like terms: 3y + -3y = 0
31 + 1y = 13 + 0
31 + 1y = 13

Add '-31' to each side of the equation.
31 + -31 + 1y = 13 + -31

Combine like terms: 31 + -31 = 0
0 + 1y = 13 + -31
1y = 13 + -31

Combine like terms: 13 + -31 = -18
1y = -18

Divide each side by '1'.
y = -18

Simplifying
y = -18

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