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Simplifying 6y + 47 = -5(y + -5) Reorder the terms: 47 + 6y = -5(y + -5) Reorder the terms: 47 + 6y = -5(-5 + y) 47 + 6y = (-5 * -5 + y * -5) 47 + 6y = (25 + -5y) Solving 47 + 6y = 25 + -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. 47 + 6y + 5y = 25 + -5y + 5y Combine like terms: 6y + 5y = 11y 47 + 11y = 25 + -5y + 5y Combine like terms: -5y + 5y = 0 47 + 11y = 25 + 0 47 + 11y = 25 Add '-47' to each side of the equation. 47 + -47 + 11y = 25 + -47 Combine like terms: 47 + -47 = 0 0 + 11y = 25 + -47 11y = 25 + -47 Combine like terms: 25 + -47 = -22 11y = -22 Divide each side by '11'. y = -2 Simplifying y = -2
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