3Y-7+Y+45=8Y+40-6Y

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Solution for 3Y-7+Y+45=8Y+40-6Y equation:


Simplifying
3Y + -7 + Y + 45 = 8Y + 40 + -6Y

Reorder the terms:
-7 + 45 + 3Y + Y = 8Y + 40 + -6Y

Combine like terms: -7 + 45 = 38
38 + 3Y + Y = 8Y + 40 + -6Y

Combine like terms: 3Y + Y = 4Y
38 + 4Y = 8Y + 40 + -6Y

Reorder the terms:
38 + 4Y = 40 + 8Y + -6Y

Combine like terms: 8Y + -6Y = 2Y
38 + 4Y = 40 + 2Y

Solving
38 + 4Y = 40 + 2Y

Solving for variable 'Y'.

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

Add '-2Y' to each side of the equation.
38 + 4Y + -2Y = 40 + 2Y + -2Y

Combine like terms: 4Y + -2Y = 2Y
38 + 2Y = 40 + 2Y + -2Y

Combine like terms: 2Y + -2Y = 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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