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Simplifying 5(3 + -2y) + -4(9 + -1y) = 3(y + 5) (3 * 5 + -2y * 5) + -4(9 + -1y) = 3(y + 5) (15 + -10y) + -4(9 + -1y) = 3(y + 5) 15 + -10y + (9 * -4 + -1y * -4) = 3(y + 5) 15 + -10y + (-36 + 4y) = 3(y + 5) Reorder the terms: 15 + -36 + -10y + 4y = 3(y + 5) Combine like terms: 15 + -36 = -21 -21 + -10y + 4y = 3(y + 5) Combine like terms: -10y + 4y = -6y -21 + -6y = 3(y + 5) Reorder the terms: -21 + -6y = 3(5 + y) -21 + -6y = (5 * 3 + y * 3) -21 + -6y = (15 + 3y) Solving -21 + -6y = 15 + 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. -21 + -6y + -3y = 15 + 3y + -3y Combine like terms: -6y + -3y = -9y -21 + -9y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 -21 + -9y = 15 + 0 -21 + -9y = 15 Add '21' to each side of the equation. -21 + 21 + -9y = 15 + 21 Combine like terms: -21 + 21 = 0 0 + -9y = 15 + 21 -9y = 15 + 21 Combine like terms: 15 + 21 = 36 -9y = 36 Divide each side by '-9'. y = -4 Simplifying y = -4
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