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Simplifying 3 + -5(-4y + -9) = -4(-9y + -4) + 5 Reorder the terms: 3 + -5(-9 + -4y) = -4(-9y + -4) + 5 3 + (-9 * -5 + -4y * -5) = -4(-9y + -4) + 5 3 + (45 + 20y) = -4(-9y + -4) + 5 Combine like terms: 3 + 45 = 48 48 + 20y = -4(-9y + -4) + 5 Reorder the terms: 48 + 20y = -4(-4 + -9y) + 5 48 + 20y = (-4 * -4 + -9y * -4) + 5 48 + 20y = (16 + 36y) + 5 Reorder the terms: 48 + 20y = 16 + 5 + 36y Combine like terms: 16 + 5 = 21 48 + 20y = 21 + 36y Solving 48 + 20y = 21 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. 48 + 20y + -36y = 21 + 36y + -36y Combine like terms: 20y + -36y = -16y 48 + -16y = 21 + 36y + -36y Combine like terms: 36y + -36y = 0 48 + -16y = 21 + 0 48 + -16y = 21 Add '-48' to each side of the equation. 48 + -48 + -16y = 21 + -48 Combine like terms: 48 + -48 = 0 0 + -16y = 21 + -48 -16y = 21 + -48 Combine like terms: 21 + -48 = -27 -16y = -27 Divide each side by '-16'. y = 1.6875 Simplifying y = 1.6875
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