7(y-2)=5-6(y-5)

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Solution for 7(y-2)=5-6(y-5) equation:


Simplifying
7(y + -2) = 5 + -6(y + -5)

Reorder the terms:
7(-2 + y) = 5 + -6(y + -5)
(-2 * 7 + y * 7) = 5 + -6(y + -5)
(-14 + 7y) = 5 + -6(y + -5)

Reorder the terms:
-14 + 7y = 5 + -6(-5 + y)
-14 + 7y = 5 + (-5 * -6 + y * -6)
-14 + 7y = 5 + (30 + -6y)

Combine like terms: 5 + 30 = 35
-14 + 7y = 35 + -6y

Solving
-14 + 7y = 35 + -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.
-14 + 7y + 6y = 35 + -6y + 6y

Combine like terms: 7y + 6y = 13y
-14 + 13y = 35 + -6y + 6y

Combine like terms: -6y + 6y = 0
-14 + 13y = 35 + 0
-14 + 13y = 35

Add '14' to each side of the equation.
-14 + 14 + 13y = 35 + 14

Combine like terms: -14 + 14 = 0
0 + 13y = 35 + 14
13y = 35 + 14

Combine like terms: 35 + 14 = 49
13y = 49

Divide each side by '13'.
y = 3.769230769

Simplifying
y = 3.769230769

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