-9y+16=-6(y-7)

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Solution for -9y+16=-6(y-7) equation:


Simplifying
-9y + 16 = -6(y + -7)

Reorder the terms:
16 + -9y = -6(y + -7)

Reorder the terms:
16 + -9y = -6(-7 + y)
16 + -9y = (-7 * -6 + y * -6)
16 + -9y = (42 + -6y)

Solving
16 + -9y = 42 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
16 + -9y + 6y = 42 + -6y + 6y

Combine like terms: -9y + 6y = -3y
16 + -3y = 42 + -6y + 6y

Combine like terms: -6y + 6y = 0
16 + -3y = 42 + 0
16 + -3y = 42

Add '-16' to each side of the equation.
16 + -16 + -3y = 42 + -16

Combine like terms: 16 + -16 = 0
0 + -3y = 42 + -16
-3y = 42 + -16

Combine like terms: 42 + -16 = 26
-3y = 26

Divide each side by '-3'.
y = -8.666666667

Simplifying
y = -8.666666667

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