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

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


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

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

Reorder the terms:
1 + -5y = -2(7 + 4y)
1 + -5y = (7 * -2 + 4y * -2)
1 + -5y = (-14 + -8y)

Solving
1 + -5y = -14 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
1 + -5y + 8y = -14 + -8y + 8y

Combine like terms: -5y + 8y = 3y
1 + 3y = -14 + -8y + 8y

Combine like terms: -8y + 8y = 0
1 + 3y = -14 + 0
1 + 3y = -14

Add '-1' to each side of the equation.
1 + -1 + 3y = -14 + -1

Combine like terms: 1 + -1 = 0
0 + 3y = -14 + -1
3y = -14 + -1

Combine like terms: -14 + -1 = -15
3y = -15

Divide each side by '3'.
y = -5

Simplifying
y = -5

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