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Simplifying 6(y + -5) + 5(y + 5) = 51 Reorder the terms: 6(-5 + y) + 5(y + 5) = 51 (-5 * 6 + y * 6) + 5(y + 5) = 51 (-30 + 6y) + 5(y + 5) = 51 Reorder the terms: -30 + 6y + 5(5 + y) = 51 -30 + 6y + (5 * 5 + y * 5) = 51 -30 + 6y + (25 + 5y) = 51 Reorder the terms: -30 + 25 + 6y + 5y = 51 Combine like terms: -30 + 25 = -5 -5 + 6y + 5y = 51 Combine like terms: 6y + 5y = 11y -5 + 11y = 51 Solving -5 + 11y = 51 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 11y = 51 + 5 Combine like terms: -5 + 5 = 0 0 + 11y = 51 + 5 11y = 51 + 5 Combine like terms: 51 + 5 = 56 11y = 56 Divide each side by '11'. y = 5.090909091 Simplifying y = 5.090909091
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