7(y-4)=-6y-7

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Solution for 7(y-4)=-6y-7 equation:


Simplifying
7(y + -4) = -6y + -7

Reorder the terms:
7(-4 + y) = -6y + -7
(-4 * 7 + y * 7) = -6y + -7
(-28 + 7y) = -6y + -7

Reorder the terms:
-28 + 7y = -7 + -6y

Solving
-28 + 7y = -7 + -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.
-28 + 7y + 6y = -7 + -6y + 6y

Combine like terms: 7y + 6y = 13y
-28 + 13y = -7 + -6y + 6y

Combine like terms: -6y + 6y = 0
-28 + 13y = -7 + 0
-28 + 13y = -7

Add '28' to each side of the equation.
-28 + 28 + 13y = -7 + 28

Combine like terms: -28 + 28 = 0
0 + 13y = -7 + 28
13y = -7 + 28

Combine like terms: -7 + 28 = 21
13y = 21

Divide each side by '13'.
y = 1.615384615

Simplifying
y = 1.615384615

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