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Simplifying 5y + -7 = 4y + 10 Reorder the terms: -7 + 5y = 4y + 10 Reorder the terms: -7 + 5y = 10 + 4y Solving -7 + 5y = 10 + 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. -7 + 5y + -4y = 10 + 4y + -4y Combine like terms: 5y + -4y = 1y -7 + 1y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -7 + 1y = 10 + 0 -7 + 1y = 10 Add '7' to each side of the equation. -7 + 7 + 1y = 10 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = 10 + 7 1y = 10 + 7 Combine like terms: 10 + 7 = 17 1y = 17 Divide each side by '1'. y = 17 Simplifying y = 17
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