5y-4+y+41=7Y+40-4y

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Solution for 5y-4+y+41=7Y+40-4y equation:


Simplifying
5y + -4 + y + 41 = 7Y + 40 + -4y

Reorder the terms:
-4 + 41 + 5y + y = 7Y + 40 + -4y

Combine like terms: -4 + 41 = 37
37 + 5y + y = 7Y + 40 + -4y

Combine like terms: 5y + y = 6y
37 + 6y = 7Y + 40 + -4y

Reorder the terms:
37 + 6y = 40 + 7Y + -4y

Solving
37 + 6y = 40 + 7Y + -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.
37 + 6y + 4y = 40 + 7Y + -4y + 4y

Combine like terms: 6y + 4y = 10y
37 + 10y = 40 + 7Y + -4y + 4y

Combine like terms: -4y + 4y = 0
37 + 10y = 40 + 7Y + 0
37 + 10y = 40 + 7Y

Add '-37' to each side of the equation.
37 + -37 + 10y = 40 + -37 + 7Y

Combine like terms: 37 + -37 = 0
0 + 10y = 40 + -37 + 7Y
10y = 40 + -37 + 7Y

Combine like terms: 40 + -37 = 3
10y = 3 + 7Y

Divide each side by '10'.
y = 0.3 + 0.7Y

Simplifying
y = 0.3 + 0.7Y

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