3+3(5y-1)+13=-(-10)-2y

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Solution for 3+3(5y-1)+13=-(-10)-2y equation:


Simplifying
3 + 3(5y + -1) + 13 = -1(-10) + -2y

Reorder the terms:
3 + 3(-1 + 5y) + 13 = -1(-10) + -2y
3 + (-1 * 3 + 5y * 3) + 13 = -1(-10) + -2y
3 + (-3 + 15y) + 13 = -1(-10) + -2y

Reorder the terms:
3 + -3 + 13 + 15y = -1(-10) + -2y

Combine like terms: 3 + -3 = 0
0 + 13 + 15y = -1(-10) + -2y
13 + 15y = -1(-10) + -2y

Multiply -1 * -10
13 + 15y = 10 + -2y

Solving
13 + 15y = 10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
13 + 15y + 2y = 10 + -2y + 2y

Combine like terms: 15y + 2y = 17y
13 + 17y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
13 + 17y = 10 + 0
13 + 17y = 10

Add '-13' to each side of the equation.
13 + -13 + 17y = 10 + -13

Combine like terms: 13 + -13 = 0
0 + 17y = 10 + -13
17y = 10 + -13

Combine like terms: 10 + -13 = -3
17y = -3

Divide each side by '17'.
y = -0.1764705882

Simplifying
y = -0.1764705882

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