4y-7+y+45=8y+40-5y

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Solution for 4y-7+y+45=8y+40-5y equation: 


Simplifying
4y + -7 + y + 45 = 8y + 40 + -5y

Reorder the terms:
-7 + 45 + 4y + y = 8y + 40 + -5y

Combine like terms: -7 + 45 = 38
38 + 4y + y = 8y + 40 + -5y

Combine like terms: 4y + y = 5y
38 + 5y = 8y + 40 + -5y

Reorder the terms:
38 + 5y = 40 + 8y + -5y

Combine like terms: 8y + -5y = 3y
38 + 5y = 40 + 3y

Solving
38 + 5y = 40 + 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.
38 + 5y + -3y = 40 + 3y + -3y

Combine like terms: 5y + -3y = 2y
38 + 2y = 40 + 3y + -3y

Combine like terms: 3y + -3y = 0
38 + 2y = 40 + 0
38 + 2y = 40

Add '-38' to each side of the equation.
38 + -38 + 2y = 40 + -38

Combine like terms: 38 + -38 = 0
0 + 2y = 40 + -38
2y = 40 + -38

Combine like terms: 40 + -38 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1

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