(y+5)+(3y-2)=22

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Solution for (y+5)+(3y-2)=22 equation:


Simplifying
(y + 5) + (3y + -2) = 22

Reorder the terms:
(5 + y) + (3y + -2) = 22

Remove parenthesis around (5 + y)
5 + y + (3y + -2) = 22

Reorder the terms:
5 + y + (-2 + 3y) = 22

Remove parenthesis around (-2 + 3y)
5 + y + -2 + 3y = 22

Reorder the terms:
5 + -2 + y + 3y = 22

Combine like terms: 5 + -2 = 3
3 + y + 3y = 22

Combine like terms: y + 3y = 4y
3 + 4y = 22

Solving
3 + 4y = 22

Solving for variable 'y'.

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

Add '-3' to each side of the equation.
3 + -3 + 4y = 22 + -3

Combine like terms: 3 + -3 = 0
0 + 4y = 22 + -3
4y = 22 + -3

Combine like terms: 22 + -3 = 19
4y = 19

Divide each side by '4'.
y = 4.75

Simplifying
y = 4.75

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