-6y+43=7(y-5)

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Solution for -6y+43=7(y-5) equation:


Simplifying
-6y + 43 = 7(y + -5)

Reorder the terms:
43 + -6y = 7(y + -5)

Reorder the terms:
43 + -6y = 7(-5 + y)
43 + -6y = (-5 * 7 + y * 7)
43 + -6y = (-35 + 7y)

Solving
43 + -6y = -35 + 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.
43 + -6y + -7y = -35 + 7y + -7y

Combine like terms: -6y + -7y = -13y
43 + -13y = -35 + 7y + -7y

Combine like terms: 7y + -7y = 0
43 + -13y = -35 + 0
43 + -13y = -35

Add '-43' to each side of the equation.
43 + -43 + -13y = -35 + -43

Combine like terms: 43 + -43 = 0
0 + -13y = -35 + -43
-13y = -35 + -43

Combine like terms: -35 + -43 = -78
-13y = -78

Divide each side by '-13'.
y = 6

Simplifying
y = 6

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