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Simplifying 8 + 13y + -4 = 8y + 53 + -2y Reorder the terms: 8 + -4 + 13y = 8y + 53 + -2y Combine like terms: 8 + -4 = 4 4 + 13y = 8y + 53 + -2y Reorder the terms: 4 + 13y = 53 + 8y + -2y Combine like terms: 8y + -2y = 6y 4 + 13y = 53 + 6y Solving 4 + 13y = 53 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 4 + 13y + -6y = 53 + 6y + -6y Combine like terms: 13y + -6y = 7y 4 + 7y = 53 + 6y + -6y Combine like terms: 6y + -6y = 0 4 + 7y = 53 + 0 4 + 7y = 53 Add '-4' to each side of the equation. 4 + -4 + 7y = 53 + -4 Combine like terms: 4 + -4 = 0 0 + 7y = 53 + -4 7y = 53 + -4 Combine like terms: 53 + -4 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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