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Simplifying 5y + -4 = 51 + -6y Reorder the terms: -4 + 5y = 51 + -6y Solving -4 + 5y = 51 + -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 + 5y + 6y = 51 + -6y + 6y Combine like terms: 5y + 6y = 11y -4 + 11y = 51 + -6y + 6y Combine like terms: -6y + 6y = 0 -4 + 11y = 51 + 0 -4 + 11y = 51 Add '4' to each side of the equation. -4 + 4 + 11y = 51 + 4 Combine like terms: -4 + 4 = 0 0 + 11y = 51 + 4 11y = 51 + 4 Combine like terms: 51 + 4 = 55 11y = 55 Divide each side by '11'. y = 5 Simplifying y = 5
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