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Simplifying 32 = 6(y + 7) + -8y Reorder the terms: 32 = 6(7 + y) + -8y 32 = (7 * 6 + y * 6) + -8y 32 = (42 + 6y) + -8y Combine like terms: 6y + -8y = -2y 32 = 42 + -2y Solving 32 = 42 + -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. 32 + 2y = 42 + -2y + 2y Combine like terms: -2y + 2y = 0 32 + 2y = 42 + 0 32 + 2y = 42 Add '-32' to each side of the equation. 32 + -32 + 2y = 42 + -32 Combine like terms: 32 + -32 = 0 0 + 2y = 42 + -32 2y = 42 + -32 Combine like terms: 42 + -32 = 10 2y = 10 Divide each side by '2'. y = 5 Simplifying y = 5
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