6(y-1)=-(y-7)

Solution for 6(y-1)=-(y-7) equation:

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

Reorder the terms:
6(-1 + y) = -1(y + -7)
(-1 * 6 + y * 6) = -1(y + -7)
(-6 + 6y) = -1(y + -7)

Reorder the terms:
-6 + 6y = -1(-7 + y)
-6 + 6y = (-7 * -1 + y * -1)
-6 + 6y = (7 + -1y)

Solving
-6 + 6y = 7 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-6 + 6y + y = 7 + -1y + y

Combine like terms: 6y + y = 7y
-6 + 7y = 7 + -1y + y

Combine like terms: -1y + y = 0
-6 + 7y = 7 + 0
-6 + 7y = 7

Add '6' to each side of the equation.
-6 + 6 + 7y = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 7y = 7 + 6
7y = 7 + 6

Combine like terms: 7 + 6 = 13
7y = 13

Divide each side by '7'.
y = 1.857142857

Simplifying
y = 1.857142857