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Simplifying 3(-1y + 3) + -5(2y + -5) = y + 4 + -5y Reorder the terms: 3(3 + -1y) + -5(2y + -5) = y + 4 + -5y (3 * 3 + -1y * 3) + -5(2y + -5) = y + 4 + -5y (9 + -3y) + -5(2y + -5) = y + 4 + -5y Reorder the terms: 9 + -3y + -5(-5 + 2y) = y + 4 + -5y 9 + -3y + (-5 * -5 + 2y * -5) = y + 4 + -5y 9 + -3y + (25 + -10y) = y + 4 + -5y Reorder the terms: 9 + 25 + -3y + -10y = y + 4 + -5y Combine like terms: 9 + 25 = 34 34 + -3y + -10y = y + 4 + -5y Combine like terms: -3y + -10y = -13y 34 + -13y = y + 4 + -5y Reorder the terms: 34 + -13y = 4 + y + -5y Combine like terms: y + -5y = -4y 34 + -13y = 4 + -4y Solving 34 + -13y = 4 + -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. 34 + -13y + 4y = 4 + -4y + 4y Combine like terms: -13y + 4y = -9y 34 + -9y = 4 + -4y + 4y Combine like terms: -4y + 4y = 0 34 + -9y = 4 + 0 34 + -9y = 4 Add '-34' to each side of the equation. 34 + -34 + -9y = 4 + -34 Combine like terms: 34 + -34 = 0 0 + -9y = 4 + -34 -9y = 4 + -34 Combine like terms: 4 + -34 = -30 -9y = -30 Divide each side by '-9'. y = 3.333333333 Simplifying y = 3.333333333
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