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Simplifying 10 = 8(3y + -4) + -23y + 10 Reorder the terms: 10 = 8(-4 + 3y) + -23y + 10 10 = (-4 * 8 + 3y * 8) + -23y + 10 10 = (-32 + 24y) + -23y + 10 Reorder the terms: 10 = -32 + 10 + 24y + -23y Combine like terms: -32 + 10 = -22 10 = -22 + 24y + -23y Combine like terms: 24y + -23y = 1y 10 = -22 + 1y Solving 10 = -22 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 10 + -1y = -22 + 1y + -1y Combine like terms: 1y + -1y = 0 10 + -1y = -22 + 0 10 + -1y = -22 Add '-10' to each side of the equation. 10 + -10 + -1y = -22 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = -22 + -10 -1y = -22 + -10 Combine like terms: -22 + -10 = -32 -1y = -32 Divide each side by '-1'. y = 32 Simplifying y = 32
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