7y+1-4(-2y-3)=5(-1)

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Solution for 7y+1-4(-2y-3)=5(-1) equation:


Simplifying
7y + 1 + -4(-2y + -3) = 5(-1)

Reorder the terms:
7y + 1 + -4(-3 + -2y) = 5(-1)
7y + 1 + (-3 * -4 + -2y * -4) = 5(-1)
7y + 1 + (12 + 8y) = 5(-1)

Reorder the terms:
1 + 12 + 7y + 8y = 5(-1)

Combine like terms: 1 + 12 = 13
13 + 7y + 8y = 5(-1)

Combine like terms: 7y + 8y = 15y
13 + 15y = 5(-1)

Multiply 5 * -1
13 + 15y = -5

Solving
13 + 15y = -5

Solving for variable 'y'.

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

Add '-13' to each side of the equation.
13 + -13 + 15y = -5 + -13

Combine like terms: 13 + -13 = 0
0 + 15y = -5 + -13
15y = -5 + -13

Combine like terms: -5 + -13 = -18
15y = -18

Divide each side by '15'.
y = -1.2

Simplifying
y = -1.2

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