-5y-2-4(y+1)=-7y+1

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Solution for -5y-2-4(y+1)=-7y+1 equation:


Simplifying
-5y + -2 + -4(y + 1) = -7y + 1

Reorder the terms:
-5y + -2 + -4(1 + y) = -7y + 1
-5y + -2 + (1 * -4 + y * -4) = -7y + 1
-5y + -2 + (-4 + -4y) = -7y + 1

Reorder the terms:
-2 + -4 + -5y + -4y = -7y + 1

Combine like terms: -2 + -4 = -6
-6 + -5y + -4y = -7y + 1

Combine like terms: -5y + -4y = -9y
-6 + -9y = -7y + 1

Reorder the terms:
-6 + -9y = 1 + -7y

Solving
-6 + -9y = 1 + -7y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '7y' to each side of the equation.
-6 + -9y + 7y = 1 + -7y + 7y

Combine like terms: -9y + 7y = -2y
-6 + -2y = 1 + -7y + 7y

Combine like terms: -7y + 7y = 0
-6 + -2y = 1 + 0
-6 + -2y = 1

Add '6' to each side of the equation.
-6 + 6 + -2y = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 1 + 6
-2y = 1 + 6

Combine like terms: 1 + 6 = 7
-2y = 7

Divide each side by '-2'.
y = -3.5

Simplifying
y = -3.5

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