9+4(3y-2)=5y+43

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Solution for 9+4(3y-2)=5y+43 equation: 


Simplifying
9 + 4(3y + -2) = 5y + 43

Reorder the terms:
9 + 4(-2 + 3y) = 5y + 43
9 + (-2 * 4 + 3y * 4) = 5y + 43
9 + (-8 + 12y) = 5y + 43

Combine like terms: 9 + -8 = 1
1 + 12y = 5y + 43

Reorder the terms:
1 + 12y = 43 + 5y

Solving
1 + 12y = 43 + 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.
1 + 12y + -5y = 43 + 5y + -5y

Combine like terms: 12y + -5y = 7y
1 + 7y = 43 + 5y + -5y

Combine like terms: 5y + -5y = 0
1 + 7y = 43 + 0
1 + 7y = 43

Add '-1' to each side of the equation.
1 + -1 + 7y = 43 + -1

Combine like terms: 1 + -1 = 0
0 + 7y = 43 + -1
7y = 43 + -1

Combine like terms: 43 + -1 = 42
7y = 42

Divide each side by '7'.
y = 6

Simplifying
y = 6

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