4y-7(y+6)=5y-2

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Solution for 4y-7(y+6)=5y-2 equation: 


Simplifying
4y + -7(y + 6) = 5y + -2

Reorder the terms:
4y + -7(6 + y) = 5y + -2
4y + (6 * -7 + y * -7) = 5y + -2
4y + (-42 + -7y) = 5y + -2

Reorder the terms:
-42 + 4y + -7y = 5y + -2

Combine like terms: 4y + -7y = -3y
-42 + -3y = 5y + -2

Reorder the terms:
-42 + -3y = -2 + 5y

Solving
-42 + -3y = -2 + 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.
-42 + -3y + -5y = -2 + 5y + -5y

Combine like terms: -3y + -5y = -8y
-42 + -8y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-42 + -8y = -2 + 0
-42 + -8y = -2

Add '42' to each side of the equation.
-42 + 42 + -8y = -2 + 42

Combine like terms: -42 + 42 = 0
0 + -8y = -2 + 42
-8y = -2 + 42

Combine like terms: -2 + 42 = 40
-8y = 40

Divide each side by '-8'.
y = -5

Simplifying
y = -5

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