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Simplifying 5y + -3 + y + 45 = 8y + 50 + -6y Reorder the terms: -3 + 45 + 5y + y = 8y + 50 + -6y Combine like terms: -3 + 45 = 42 42 + 5y + y = 8y + 50 + -6y Combine like terms: 5y + y = 6y 42 + 6y = 8y + 50 + -6y Reorder the terms: 42 + 6y = 50 + 8y + -6y Combine like terms: 8y + -6y = 2y 42 + 6y = 50 + 2y Solving 42 + 6y = 50 + 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. 42 + 6y + -2y = 50 + 2y + -2y Combine like terms: 6y + -2y = 4y 42 + 4y = 50 + 2y + -2y Combine like terms: 2y + -2y = 0 42 + 4y = 50 + 0 42 + 4y = 50 Add '-42' to each side of the equation. 42 + -42 + 4y = 50 + -42 Combine like terms: 42 + -42 = 0 0 + 4y = 50 + -42 4y = 50 + -42 Combine like terms: 50 + -42 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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