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Simplifying 5y + 9 + y + 39 = 6y + 30 + -4y Reorder the terms: 9 + 39 + 5y + y = 6y + 30 + -4y Combine like terms: 9 + 39 = 48 48 + 5y + y = 6y + 30 + -4y Combine like terms: 5y + y = 6y 48 + 6y = 6y + 30 + -4y Reorder the terms: 48 + 6y = 30 + 6y + -4y Combine like terms: 6y + -4y = 2y 48 + 6y = 30 + 2y Solving 48 + 6y = 30 + 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. 48 + 6y + -2y = 30 + 2y + -2y Combine like terms: 6y + -2y = 4y 48 + 4y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 48 + 4y = 30 + 0 48 + 4y = 30 Add '-48' to each side of the equation. 48 + -48 + 4y = 30 + -48 Combine like terms: 48 + -48 = 0 0 + 4y = 30 + -48 4y = 30 + -48 Combine like terms: 30 + -48 = -18 4y = -18 Divide each side by '4'. y = -4.5 Simplifying y = -4.5
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