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Simplifying -8 + 10y + 24 = 4(2y + -8) + -10 Reorder the terms: -8 + 24 + 10y = 4(2y + -8) + -10 Combine like terms: -8 + 24 = 16 16 + 10y = 4(2y + -8) + -10 Reorder the terms: 16 + 10y = 4(-8 + 2y) + -10 16 + 10y = (-8 * 4 + 2y * 4) + -10 16 + 10y = (-32 + 8y) + -10 Reorder the terms: 16 + 10y = -32 + -10 + 8y Combine like terms: -32 + -10 = -42 16 + 10y = -42 + 8y Solving 16 + 10y = -42 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 16 + 10y + -8y = -42 + 8y + -8y Combine like terms: 10y + -8y = 2y 16 + 2y = -42 + 8y + -8y Combine like terms: 8y + -8y = 0 16 + 2y = -42 + 0 16 + 2y = -42 Add '-16' to each side of the equation. 16 + -16 + 2y = -42 + -16 Combine like terms: 16 + -16 = 0 0 + 2y = -42 + -16 2y = -42 + -16 Combine like terms: -42 + -16 = -58 2y = -58 Divide each side by '2'. y = -29 Simplifying y = -29
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