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Simplifying 8(y + 5) = 2y + 22 Reorder the terms: 8(5 + y) = 2y + 22 (5 * 8 + y * 8) = 2y + 22 (40 + 8y) = 2y + 22 Reorder the terms: 40 + 8y = 22 + 2y Solving 40 + 8y = 22 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 40 + 8y + -2y = 22 + 2y + -2y Combine like terms: 8y + -2y = 6y 40 + 6y = 22 + 2y + -2y Combine like terms: 2y + -2y = 0 40 + 6y = 22 + 0 40 + 6y = 22 Add '-40' to each side of the equation. 40 + -40 + 6y = 22 + -40 Combine like terms: 40 + -40 = 0 0 + 6y = 22 + -40 6y = 22 + -40 Combine like terms: 22 + -40 = -18 6y = -18 Divide each side by '6'. y = -3 Simplifying y = -3
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