5Y-10+Y+26=7Y+20-3Y

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Solution for 5Y-10+Y+26=7Y+20-3Y equation:


Simplifying
5Y + -10 + Y + 26 = 7Y + 20 + -3Y

Reorder the terms:
-10 + 26 + 5Y + Y = 7Y + 20 + -3Y

Combine like terms: -10 + 26 = 16
16 + 5Y + Y = 7Y + 20 + -3Y

Combine like terms: 5Y + Y = 6Y
16 + 6Y = 7Y + 20 + -3Y

Reorder the terms:
16 + 6Y = 20 + 7Y + -3Y

Combine like terms: 7Y + -3Y = 4Y
16 + 6Y = 20 + 4Y

Solving
16 + 6Y = 20 + 4Y

Solving for variable 'Y'.

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

Add '-4Y' to each side of the equation.
16 + 6Y + -4Y = 20 + 4Y + -4Y

Combine like terms: 6Y + -4Y = 2Y
16 + 2Y = 20 + 4Y + -4Y

Combine like terms: 4Y + -4Y = 0
16 + 2Y = 20 + 0
16 + 2Y = 20

Add '-16' to each side of the equation.
16 + -16 + 2Y = 20 + -16

Combine like terms: 16 + -16 = 0
0 + 2Y = 20 + -16
2Y = 20 + -16

Combine like terms: 20 + -16 = 4
2Y = 4

Divide each side by '2'.
Y = 2

Simplifying
Y = 2

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