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Simplifying 10y + -27 = 4y + 21 Reorder the terms: -27 + 10y = 4y + 21 Reorder the terms: -27 + 10y = 21 + 4y Solving -27 + 10y = 21 + 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. -27 + 10y + -4y = 21 + 4y + -4y Combine like terms: 10y + -4y = 6y -27 + 6y = 21 + 4y + -4y Combine like terms: 4y + -4y = 0 -27 + 6y = 21 + 0 -27 + 6y = 21 Add '27' to each side of the equation. -27 + 27 + 6y = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 6y = 21 + 27 6y = 21 + 27 Combine like terms: 21 + 27 = 48 6y = 48 Divide each side by '6'. y = 8 Simplifying y = 8
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