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Simplifying 5(4y + -2) = 2(8y + 9) + -4 Reorder the terms: 5(-2 + 4y) = 2(8y + 9) + -4 (-2 * 5 + 4y * 5) = 2(8y + 9) + -4 (-10 + 20y) = 2(8y + 9) + -4 Reorder the terms: -10 + 20y = 2(9 + 8y) + -4 -10 + 20y = (9 * 2 + 8y * 2) + -4 -10 + 20y = (18 + 16y) + -4 Reorder the terms: -10 + 20y = 18 + -4 + 16y Combine like terms: 18 + -4 = 14 -10 + 20y = 14 + 16y Solving -10 + 20y = 14 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -10 + 20y + -16y = 14 + 16y + -16y Combine like terms: 20y + -16y = 4y -10 + 4y = 14 + 16y + -16y Combine like terms: 16y + -16y = 0 -10 + 4y = 14 + 0 -10 + 4y = 14 Add '10' to each side of the equation. -10 + 10 + 4y = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 4y = 14 + 10 4y = 14 + 10 Combine like terms: 14 + 10 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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