3Y-10+46=7Y+40-5Y

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Solution for 3Y-10+46=7Y+40-5Y equation:


Simplifying
3Y + -10 + 46 = 7Y + 40 + -5Y

Reorder the terms:
-10 + 46 + 3Y = 7Y + 40 + -5Y

Combine like terms: -10 + 46 = 36
36 + 3Y = 7Y + 40 + -5Y

Reorder the terms:
36 + 3Y = 40 + 7Y + -5Y

Combine like terms: 7Y + -5Y = 2Y
36 + 3Y = 40 + 2Y

Solving
36 + 3Y = 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.
36 + 3Y + -2Y = 40 + 2Y + -2Y

Combine like terms: 3Y + -2Y = 1Y
36 + 1Y = 40 + 2Y + -2Y

Combine like terms: 2Y + -2Y = 0
36 + 1Y = 40 + 0
36 + 1Y = 40

Add '-36' to each side of the equation.
36 + -36 + 1Y = 40 + -36

Combine like terms: 36 + -36 = 0
0 + 1Y = 40 + -36
1Y = 40 + -36

Combine like terms: 40 + -36 = 4
1Y = 4

Divide each side by '1'.
Y = 4

Simplifying
Y = 4

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