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Simplifying 10 = 8(3y + -4) + -23 + 20 Reorder the terms: 10 = 8(-4 + 3y) + -23 + 20 10 = (-4 * 8 + 3y * 8) + -23 + 20 10 = (-32 + 24y) + -23 + 20 Reorder the terms: 10 = -32 + -23 + 20 + 24y Combine like terms: -32 + -23 = -55 10 = -55 + 20 + 24y Combine like terms: -55 + 20 = -35 10 = -35 + 24y Solving 10 = -35 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 10 + -24y = -35 + 24y + -24y Combine like terms: 24y + -24y = 0 10 + -24y = -35 + 0 10 + -24y = -35 Add '-10' to each side of the equation. 10 + -10 + -24y = -35 + -10 Combine like terms: 10 + -10 = 0 0 + -24y = -35 + -10 -24y = -35 + -10 Combine like terms: -35 + -10 = -45 -24y = -45 Divide each side by '-24'. y = 1.875 Simplifying y = 1.875
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