5(y+17)=6(y+14)

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Solution for 5(y+17)=6(y+14) equation:


Simplifying
5(y + 17) = 6(y + 14)

Reorder the terms:
5(17 + y) = 6(y + 14)
(17 * 5 + y * 5) = 6(y + 14)
(85 + 5y) = 6(y + 14)

Reorder the terms:
85 + 5y = 6(14 + y)
85 + 5y = (14 * 6 + y * 6)
85 + 5y = (84 + 6y)

Solving
85 + 5y = 84 + 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.
85 + 5y + -6y = 84 + 6y + -6y

Combine like terms: 5y + -6y = -1y
85 + -1y = 84 + 6y + -6y

Combine like terms: 6y + -6y = 0
85 + -1y = 84 + 0
85 + -1y = 84

Add '-85' to each side of the equation.
85 + -85 + -1y = 84 + -85

Combine like terms: 85 + -85 = 0
0 + -1y = 84 + -85
-1y = 84 + -85

Combine like terms: 84 + -85 = -1
-1y = -1

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

Simplifying
y = 1

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