6-78(8-y)=97(6-456)

Solution for 6-78(8-y)=97(6-456) equation:

Simplifying
6 + -78(8 + -1y) = 97(6 + -456)
6 + (8 * -78 + -1y * -78) = 97(6 + -456)
6 + (-624 + 78y) = 97(6 + -456)

Combine like terms: 6 + -624 = -618
-618 + 78y = 97(6 + -456)

Combine like terms: 6 + -456 = -450
-618 + 78y = 97(-450)

Multiply 97 * -450
-618 + 78y = -43650

Solving
-618 + 78y = -43650

Solving for variable 'y'.

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

Add '618' to each side of the equation.
-618 + 618 + 78y = -43650 + 618

Combine like terms: -618 + 618 = 0
0 + 78y = -43650 + 618
78y = -43650 + 618

Combine like terms: -43650 + 618 = -43032
78y = -43032

Divide each side by '78'.
y = -551.6923077

Simplifying
y = -551.6923077