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Simplifying -35 + -8y + 15 = -22y + 29 + 7y Reorder the terms: -35 + 15 + -8y = -22y + 29 + 7y Combine like terms: -35 + 15 = -20 -20 + -8y = -22y + 29 + 7y Reorder the terms: -20 + -8y = 29 + -22y + 7y Combine like terms: -22y + 7y = -15y -20 + -8y = 29 + -15y Solving -20 + -8y = 29 + -15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15y' to each side of the equation. -20 + -8y + 15y = 29 + -15y + 15y Combine like terms: -8y + 15y = 7y -20 + 7y = 29 + -15y + 15y Combine like terms: -15y + 15y = 0 -20 + 7y = 29 + 0 -20 + 7y = 29 Add '20' to each side of the equation. -20 + 20 + 7y = 29 + 20 Combine like terms: -20 + 20 = 0 0 + 7y = 29 + 20 7y = 29 + 20 Combine like terms: 29 + 20 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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