6y+12-y+1=4y+d-1+3y+5

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Solution for 6y+12-y+1=4y+d-1+3y+5 equation: 


Simplifying
6y + 12 + -1y + 1 = 4y + d + -1 + 3y + 5

Reorder the terms:
12 + 1 + 6y + -1y = 4y + d + -1 + 3y + 5

Combine like terms: 12 + 1 = 13
13 + 6y + -1y = 4y + d + -1 + 3y + 5

Combine like terms: 6y + -1y = 5y
13 + 5y = 4y + d + -1 + 3y + 5

Reorder the terms:
13 + 5y = -1 + 5 + d + 4y + 3y

Combine like terms: -1 + 5 = 4
13 + 5y = 4 + d + 4y + 3y

Combine like terms: 4y + 3y = 7y
13 + 5y = 4 + d + 7y

Solving
13 + 5y = 4 + d + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
13 + 5y + -7y = 4 + d + 7y + -7y

Combine like terms: 5y + -7y = -2y
13 + -2y = 4 + d + 7y + -7y

Combine like terms: 7y + -7y = 0
13 + -2y = 4 + d + 0
13 + -2y = 4 + d

Add '-13' to each side of the equation.
13 + -13 + -2y = 4 + -13 + d

Combine like terms: 13 + -13 = 0
0 + -2y = 4 + -13 + d
-2y = 4 + -13 + d

Combine like terms: 4 + -13 = -9
-2y = -9 + d

Divide each side by '-2'.
y = 4.5 + -0.5d

Simplifying
y = 4.5 + -0.5d

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