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Simplifying -8 + 10 = -4y + 5(y + 8) Combine like terms: -8 + 10 = 2 2 = -4y + 5(y + 8) Reorder the terms: 2 = -4y + 5(8 + y) 2 = -4y + (8 * 5 + y * 5) 2 = -4y + (40 + 5y) Reorder the terms: 2 = 40 + -4y + 5y Combine like terms: -4y + 5y = 1y 2 = 40 + 1y Solving 2 = 40 + 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. 2 + -1y = 40 + 1y + -1y Combine like terms: 1y + -1y = 0 2 + -1y = 40 + 0 2 + -1y = 40 Add '-2' to each side of the equation. 2 + -2 + -1y = 40 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 40 + -2 -1y = 40 + -2 Combine like terms: 40 + -2 = 38 -1y = 38 Divide each side by '-1'. y = -38 Simplifying y = -38
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