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Simplifying -3y + -2(-9y + 3) = 3 + -5(-2 + -1y) Reorder the terms: -3y + -2(3 + -9y) = 3 + -5(-2 + -1y) -3y + (3 * -2 + -9y * -2) = 3 + -5(-2 + -1y) -3y + (-6 + 18y) = 3 + -5(-2 + -1y) Reorder the terms: -6 + -3y + 18y = 3 + -5(-2 + -1y) Combine like terms: -3y + 18y = 15y -6 + 15y = 3 + -5(-2 + -1y) -6 + 15y = 3 + (-2 * -5 + -1y * -5) -6 + 15y = 3 + (10 + 5y) Combine like terms: 3 + 10 = 13 -6 + 15y = 13 + 5y Solving -6 + 15y = 13 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -6 + 15y + -5y = 13 + 5y + -5y Combine like terms: 15y + -5y = 10y -6 + 10y = 13 + 5y + -5y Combine like terms: 5y + -5y = 0 -6 + 10y = 13 + 0 -6 + 10y = 13 Add '6' to each side of the equation. -6 + 6 + 10y = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 10y = 13 + 6 10y = 13 + 6 Combine like terms: 13 + 6 = 19 10y = 19 Divide each side by '10'. y = 1.9 Simplifying y = 1.9
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