4(3y-10)+13=5y+2

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Solution for 4(3y-10)+13=5y+2 equation: 


Simplifying
4(3y + -10) + 13 = 5y + 2

Reorder the terms:
4(-10 + 3y) + 13 = 5y + 2
(-10 * 4 + 3y * 4) + 13 = 5y + 2
(-40 + 12y) + 13 = 5y + 2

Reorder the terms:
-40 + 13 + 12y = 5y + 2

Combine like terms: -40 + 13 = -27
-27 + 12y = 5y + 2

Reorder the terms:
-27 + 12y = 2 + 5y

Solving
-27 + 12y = 2 + 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.
-27 + 12y + -5y = 2 + 5y + -5y

Combine like terms: 12y + -5y = 7y
-27 + 7y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-27 + 7y = 2 + 0
-27 + 7y = 2

Add '27' to each side of the equation.
-27 + 27 + 7y = 2 + 27

Combine like terms: -27 + 27 = 0
0 + 7y = 2 + 27
7y = 2 + 27

Combine like terms: 2 + 27 = 29
7y = 29

Divide each side by '7'.
y = 4.142857143

Simplifying
y = 4.142857143

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