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Simplifying 5(4y + -2) + -1(4y + 3) = 0 Reorder the terms: 5(-2 + 4y) + -1(4y + 3) = 0 (-2 * 5 + 4y * 5) + -1(4y + 3) = 0 (-10 + 20y) + -1(4y + 3) = 0 Reorder the terms: -10 + 20y + -1(3 + 4y) = 0 -10 + 20y + (3 * -1 + 4y * -1) = 0 -10 + 20y + (-3 + -4y) = 0 Reorder the terms: -10 + -3 + 20y + -4y = 0 Combine like terms: -10 + -3 = -13 -13 + 20y + -4y = 0 Combine like terms: 20y + -4y = 16y -13 + 16y = 0 Solving -13 + 16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 16y = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 16y = 0 + 13 16y = 0 + 13 Combine like terms: 0 + 13 = 13 16y = 13 Divide each side by '16'. y = 0.8125 Simplifying y = 0.8125
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