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Simplifying 5(y + 8) = 7(y + 6) Reorder the terms: 5(8 + y) = 7(y + 6) (8 * 5 + y * 5) = 7(y + 6) (40 + 5y) = 7(y + 6) Reorder the terms: 40 + 5y = 7(6 + y) 40 + 5y = (6 * 7 + y * 7) 40 + 5y = (42 + 7y) Solving 40 + 5y = 42 + 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 = 42 + 7y + -7y Combine like terms: 5y + -7y = -2y 40 + -2y = 42 + 7y + -7y Combine like terms: 7y + -7y = 0 40 + -2y = 42 + 0 40 + -2y = 42 Add '-40' to each side of the equation. 40 + -40 + -2y = 42 + -40 Combine like terms: 40 + -40 = 0 0 + -2y = 42 + -40 -2y = 42 + -40 Combine like terms: 42 + -40 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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