(7y-2)+(5y+4)=23

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Solution for (7y-2)+(5y+4)=23 equation:


Simplifying
(7y + -2) + (5y + 4) = 23

Reorder the terms:
(-2 + 7y) + (5y + 4) = 23

Remove parenthesis around (-2 + 7y)
-2 + 7y + (5y + 4) = 23

Reorder the terms:
-2 + 7y + (4 + 5y) = 23

Remove parenthesis around (4 + 5y)
-2 + 7y + 4 + 5y = 23

Reorder the terms:
-2 + 4 + 7y + 5y = 23

Combine like terms: -2 + 4 = 2
2 + 7y + 5y = 23

Combine like terms: 7y + 5y = 12y
2 + 12y = 23

Solving
2 + 12y = 23

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 12y = 23 + -2

Combine like terms: 2 + -2 = 0
0 + 12y = 23 + -2
12y = 23 + -2

Combine like terms: 23 + -2 = 21
12y = 21

Divide each side by '12'.
y = 1.75

Simplifying
y = 1.75

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