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Simplifying 5 + 8y + -2 = 8y + 45 + -6y Reorder the terms: 5 + -2 + 8y = 8y + 45 + -6y Combine like terms: 5 + -2 = 3 3 + 8y = 8y + 45 + -6y Reorder the terms: 3 + 8y = 45 + 8y + -6y Combine like terms: 8y + -6y = 2y 3 + 8y = 45 + 2y Solving 3 + 8y = 45 + 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. 3 + 8y + -2y = 45 + 2y + -2y Combine like terms: 8y + -2y = 6y 3 + 6y = 45 + 2y + -2y Combine like terms: 2y + -2y = 0 3 + 6y = 45 + 0 3 + 6y = 45 Add '-3' to each side of the equation. 3 + -3 + 6y = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 6y = 45 + -3 6y = 45 + -3 Combine like terms: 45 + -3 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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