10+37-2=4y-4-y+8

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Solution for 10+37-2=4y-4-y+8 equation:


Simplifying
10 + 37 + -2 = 4y + -4 + -1y + 8

Combine like terms: 10 + 37 = 47
47 + -2 = 4y + -4 + -1y + 8

Combine like terms: 47 + -2 = 45
45 = 4y + -4 + -1y + 8

Reorder the terms:
45 = -4 + 8 + 4y + -1y

Combine like terms: -4 + 8 = 4
45 = 4 + 4y + -1y

Combine like terms: 4y + -1y = 3y
45 = 4 + 3y

Solving
45 = 4 + 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.
45 + -3y = 4 + 3y + -3y

Combine like terms: 3y + -3y = 0
45 + -3y = 4 + 0
45 + -3y = 4

Add '-45' to each side of the equation.
45 + -45 + -3y = 4 + -45

Combine like terms: 45 + -45 = 0
0 + -3y = 4 + -45
-3y = 4 + -45

Combine like terms: 4 + -45 = -41
-3y = -41

Divide each side by '-3'.
y = 13.66666667

Simplifying
y = 13.66666667

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