2[.25(4y-8)+3y]+7=3(y+1)+5y

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Solution for 2[.25(4y-8)+3y]+7=3(y+1)+5y equation:


Simplifying
2[0.25(4y + -8) + 3y] + 7 = 3(y + 1) + 5y

Reorder the terms:
2[0.25(-8 + 4y) + 3y] + 7 = 3(y + 1) + 5y
2[(-8 * 0.25 + 4y * 0.25) + 3y] + 7 = 3(y + 1) + 5y
2[(-2 + 1y) + 3y] + 7 = 3(y + 1) + 5y

Combine like terms: 1y + 3y = 4y
2[-2 + 4y] + 7 = 3(y + 1) + 5y
[-2 * 2 + 4y * 2] + 7 = 3(y + 1) + 5y
[-4 + 8y] + 7 = 3(y + 1) + 5y

Reorder the terms:
-4 + 7 + 8y = 3(y + 1) + 5y

Combine like terms: -4 + 7 = 3
3 + 8y = 3(y + 1) + 5y

Reorder the terms:
3 + 8y = 3(1 + y) + 5y
3 + 8y = (1 * 3 + y * 3) + 5y
3 + 8y = (3 + 3y) + 5y

Combine like terms: 3y + 5y = 8y
3 + 8y = 3 + 8y

Add '-3' to each side of the equation.
3 + -3 + 8y = 3 + -3 + 8y

Combine like terms: 3 + -3 = 0
0 + 8y = 3 + -3 + 8y
8y = 3 + -3 + 8y

Combine like terms: 3 + -3 = 0
8y = 0 + 8y
8y = 8y

Add '-8y' to each side of the equation.
8y + -8y = 8y + -8y

Combine like terms: 8y + -8y = 0
0 = 8y + -8y

Combine like terms: 8y + -8y = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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