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Simplifying 6y + -13 = -3(y + -6) Reorder the terms: -13 + 6y = -3(y + -6) Reorder the terms: -13 + 6y = -3(-6 + y) -13 + 6y = (-6 * -3 + y * -3) -13 + 6y = (18 + -3y) Solving -13 + 6y = 18 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -13 + 6y + 3y = 18 + -3y + 3y Combine like terms: 6y + 3y = 9y -13 + 9y = 18 + -3y + 3y Combine like terms: -3y + 3y = 0 -13 + 9y = 18 + 0 -13 + 9y = 18 Add '13' to each side of the equation. -13 + 13 + 9y = 18 + 13 Combine like terms: -13 + 13 = 0 0 + 9y = 18 + 13 9y = 18 + 13 Combine like terms: 18 + 13 = 31 9y = 31 Divide each side by '9'. y = 3.444444444 Simplifying y = 3.444444444
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