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Simplifying 6y + -3 = -5(y + -6) Reorder the terms: -3 + 6y = -5(y + -6) Reorder the terms: -3 + 6y = -5(-6 + y) -3 + 6y = (-6 * -5 + y * -5) -3 + 6y = (30 + -5y) Solving -3 + 6y = 30 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -3 + 6y + 5y = 30 + -5y + 5y Combine like terms: 6y + 5y = 11y -3 + 11y = 30 + -5y + 5y Combine like terms: -5y + 5y = 0 -3 + 11y = 30 + 0 -3 + 11y = 30 Add '3' to each side of the equation. -3 + 3 + 11y = 30 + 3 Combine like terms: -3 + 3 = 0 0 + 11y = 30 + 3 11y = 30 + 3 Combine like terms: 30 + 3 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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