Y+4(7y+5)=20(y+1)+7y

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Solution for Y+4(7y+5)=20(y+1)+7y equation:


Simplifying
Y + 4(7y + 5) = 20(y + 1) + 7y

Reorder the terms:
Y + 4(5 + 7y) = 20(y + 1) + 7y
Y + (5 * 4 + 7y * 4) = 20(y + 1) + 7y
Y + (20 + 28y) = 20(y + 1) + 7y

Reorder the terms:
20 + Y + 28y = 20(y + 1) + 7y

Reorder the terms:
20 + Y + 28y = 20(1 + y) + 7y
20 + Y + 28y = (1 * 20 + y * 20) + 7y
20 + Y + 28y = (20 + 20y) + 7y

Combine like terms: 20y + 7y = 27y
20 + Y + 28y = 20 + 27y

Add '-20' to each side of the equation.
20 + Y + -20 + 28y = 20 + -20 + 27y

Reorder the terms:
20 + -20 + Y + 28y = 20 + -20 + 27y

Combine like terms: 20 + -20 = 0
0 + Y + 28y = 20 + -20 + 27y
Y + 28y = 20 + -20 + 27y

Combine like terms: 20 + -20 = 0
Y + 28y = 0 + 27y
Y + 28y = 27y

Solving
Y + 28y = 27y

Solving for variable 'Y'.

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

Add '-28y' to each side of the equation.
Y + 28y + -28y = 27y + -28y

Combine like terms: 28y + -28y = 0
Y + 0 = 27y + -28y
Y = 27y + -28y

Combine like terms: 27y + -28y = -1y
Y = -1y

Simplifying
Y = -1y

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