7(y-1)=4y+y+1

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Solution for 7(y-1)=4y+y+1 equation: 


Simplifying
7(y + -1) = 4y + y + 1

Reorder the terms:
7(-1 + y) = 4y + y + 1
(-1 * 7 + y * 7) = 4y + y + 1
(-7 + 7y) = 4y + y + 1

Reorder the terms:
-7 + 7y = 1 + 4y + y

Combine like terms: 4y + y = 5y
-7 + 7y = 1 + 5y

Solving
-7 + 7y = 1 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-7 + 7y + -5y = 1 + 5y + -5y

Combine like terms: 7y + -5y = 2y
-7 + 2y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + 2y = 1 + 0
-7 + 2y = 1

Add '7' to each side of the equation.
-7 + 7 + 2y = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 2y = 1 + 7
2y = 1 + 7

Combine like terms: 1 + 7 = 8
2y = 8

Divide each side by '2'.
y = 4

Simplifying
y = 4

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