-7y+13=-4(y-2)

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Solution for -7y+13=-4(y-2) equation:


Simplifying
-7y + 13 = -4(y + -2)

Reorder the terms:
13 + -7y = -4(y + -2)

Reorder the terms:
13 + -7y = -4(-2 + y)
13 + -7y = (-2 * -4 + y * -4)
13 + -7y = (8 + -4y)

Solving
13 + -7y = 8 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
13 + -7y + 4y = 8 + -4y + 4y

Combine like terms: -7y + 4y = -3y
13 + -3y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
13 + -3y = 8 + 0
13 + -3y = 8

Add '-13' to each side of the equation.
13 + -13 + -3y = 8 + -13

Combine like terms: 13 + -13 = 0
0 + -3y = 8 + -13
-3y = 8 + -13

Combine like terms: 8 + -13 = -5
-3y = -5

Divide each side by '-3'.
y = 1.666666667

Simplifying
y = 1.666666667

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