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Simplifying 5(y + 8) = 7y + -6 Reorder the terms: 5(8 + y) = 7y + -6 (8 * 5 + y * 5) = 7y + -6 (40 + 5y) = 7y + -6 Reorder the terms: 40 + 5y = -6 + 7y Solving 40 + 5y = -6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 40 + 5y + -7y = -6 + 7y + -7y Combine like terms: 5y + -7y = -2y 40 + -2y = -6 + 7y + -7y Combine like terms: 7y + -7y = 0 40 + -2y = -6 + 0 40 + -2y = -6 Add '-40' to each side of the equation. 40 + -40 + -2y = -6 + -40 Combine like terms: 40 + -40 = 0 0 + -2y = -6 + -40 -2y = -6 + -40 Combine like terms: -6 + -40 = -46 -2y = -46 Divide each side by '-2'. y = 23 Simplifying y = 23
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