16-(6y-7)+3y=5(y+1)

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Solution for 16-(6y-7)+3y=5(y+1) equation: 


Simplifying
16 + -1(6y + -7) + 3y = 5(y + 1)

Reorder the terms:
16 + -1(-7 + 6y) + 3y = 5(y + 1)
16 + (-7 * -1 + 6y * -1) + 3y = 5(y + 1)
16 + (7 + -6y) + 3y = 5(y + 1)

Combine like terms: 16 + 7 = 23
23 + -6y + 3y = 5(y + 1)

Combine like terms: -6y + 3y = -3y
23 + -3y = 5(y + 1)

Reorder the terms:
23 + -3y = 5(1 + y)
23 + -3y = (1 * 5 + y * 5)
23 + -3y = (5 + 5y)

Solving
23 + -3y = 5 + 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.
23 + -3y + -5y = 5 + 5y + -5y

Combine like terms: -3y + -5y = -8y
23 + -8y = 5 + 5y + -5y

Combine like terms: 5y + -5y = 0
23 + -8y = 5 + 0
23 + -8y = 5

Add '-23' to each side of the equation.
23 + -23 + -8y = 5 + -23

Combine like terms: 23 + -23 = 0
0 + -8y = 5 + -23
-8y = 5 + -23

Combine like terms: 5 + -23 = -18
-8y = -18

Divide each side by '-8'.
y = 2.25

Simplifying
y = 2.25

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