-6y+46=5(y+7)

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Solution for -6y+46=5(y+7) equation:


Simplifying
-6y + 46 = 5(y + 7)

Reorder the terms:
46 + -6y = 5(y + 7)

Reorder the terms:
46 + -6y = 5(7 + y)
46 + -6y = (7 * 5 + y * 5)
46 + -6y = (35 + 5y)

Solving
46 + -6y = 35 + 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.
46 + -6y + -5y = 35 + 5y + -5y

Combine like terms: -6y + -5y = -11y
46 + -11y = 35 + 5y + -5y

Combine like terms: 5y + -5y = 0
46 + -11y = 35 + 0
46 + -11y = 35

Add '-46' to each side of the equation.
46 + -46 + -11y = 35 + -46

Combine like terms: 46 + -46 = 0
0 + -11y = 35 + -46
-11y = 35 + -46

Combine like terms: 35 + -46 = -11
-11y = -11

Divide each side by '-11'.
y = 1

Simplifying
y = 1

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