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Simplifying 7y + 10 + -2y = 7 + 4y + 8 Reorder the terms: 10 + 7y + -2y = 7 + 4y + 8 Combine like terms: 7y + -2y = 5y 10 + 5y = 7 + 4y + 8 Reorder the terms: 10 + 5y = 7 + 8 + 4y Combine like terms: 7 + 8 = 15 10 + 5y = 15 + 4y Solving 10 + 5y = 15 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 10 + 5y + -4y = 15 + 4y + -4y Combine like terms: 5y + -4y = 1y 10 + 1y = 15 + 4y + -4y Combine like terms: 4y + -4y = 0 10 + 1y = 15 + 0 10 + 1y = 15 Add '-10' to each side of the equation. 10 + -10 + 1y = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 1y = 15 + -10 1y = 15 + -10 Combine like terms: 15 + -10 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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