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Simplifying -5y + -15 + 9y + 22 + 3y = 8 + -2y + 12 + 4y + 33 Reorder the terms: -15 + 22 + -5y + 9y + 3y = 8 + -2y + 12 + 4y + 33 Combine like terms: -15 + 22 = 7 7 + -5y + 9y + 3y = 8 + -2y + 12 + 4y + 33 Combine like terms: -5y + 9y = 4y 7 + 4y + 3y = 8 + -2y + 12 + 4y + 33 Combine like terms: 4y + 3y = 7y 7 + 7y = 8 + -2y + 12 + 4y + 33 Reorder the terms: 7 + 7y = 8 + 12 + 33 + -2y + 4y Combine like terms: 8 + 12 = 20 7 + 7y = 20 + 33 + -2y + 4y Combine like terms: 20 + 33 = 53 7 + 7y = 53 + -2y + 4y Combine like terms: -2y + 4y = 2y 7 + 7y = 53 + 2y Solving 7 + 7y = 53 + 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. 7 + 7y + -2y = 53 + 2y + -2y Combine like terms: 7y + -2y = 5y 7 + 5y = 53 + 2y + -2y Combine like terms: 2y + -2y = 0 7 + 5y = 53 + 0 7 + 5y = 53 Add '-7' to each side of the equation. 7 + -7 + 5y = 53 + -7 Combine like terms: 7 + -7 = 0 0 + 5y = 53 + -7 5y = 53 + -7 Combine like terms: 53 + -7 = 46 5y = 46 Divide each side by '5'. y = 9.2 Simplifying y = 9.2
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