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Simplifying -3y + 5(6y + -4) = -3 + 4(9 + -1y) Reorder the terms: -3y + 5(-4 + 6y) = -3 + 4(9 + -1y) -3y + (-4 * 5 + 6y * 5) = -3 + 4(9 + -1y) -3y + (-20 + 30y) = -3 + 4(9 + -1y) Reorder the terms: -20 + -3y + 30y = -3 + 4(9 + -1y) Combine like terms: -3y + 30y = 27y -20 + 27y = -3 + 4(9 + -1y) -20 + 27y = -3 + (9 * 4 + -1y * 4) -20 + 27y = -3 + (36 + -4y) Combine like terms: -3 + 36 = 33 -20 + 27y = 33 + -4y Solving -20 + 27y = 33 + -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. -20 + 27y + 4y = 33 + -4y + 4y Combine like terms: 27y + 4y = 31y -20 + 31y = 33 + -4y + 4y Combine like terms: -4y + 4y = 0 -20 + 31y = 33 + 0 -20 + 31y = 33 Add '20' to each side of the equation. -20 + 20 + 31y = 33 + 20 Combine like terms: -20 + 20 = 0 0 + 31y = 33 + 20 31y = 33 + 20 Combine like terms: 33 + 20 = 53 31y = 53 Divide each side by '31'. y = 1.709677419 Simplifying y = 1.709677419
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