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Simplifying 5(4y + -3) + 2 = -20y + 17 Reorder the terms: 5(-3 + 4y) + 2 = -20y + 17 (-3 * 5 + 4y * 5) + 2 = -20y + 17 (-15 + 20y) + 2 = -20y + 17 Reorder the terms: -15 + 2 + 20y = -20y + 17 Combine like terms: -15 + 2 = -13 -13 + 20y = -20y + 17 Reorder the terms: -13 + 20y = 17 + -20y Solving -13 + 20y = 17 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. -13 + 20y + 20y = 17 + -20y + 20y Combine like terms: 20y + 20y = 40y -13 + 40y = 17 + -20y + 20y Combine like terms: -20y + 20y = 0 -13 + 40y = 17 + 0 -13 + 40y = 17 Add '13' to each side of the equation. -13 + 13 + 40y = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 40y = 17 + 13 40y = 17 + 13 Combine like terms: 17 + 13 = 30 40y = 30 Divide each side by '40'. y = 0.75 Simplifying y = 0.75
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