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Simplifying 6y + 13 = -5(y + -4) Reorder the terms: 13 + 6y = -5(y + -4) Reorder the terms: 13 + 6y = -5(-4 + y) 13 + 6y = (-4 * -5 + y * -5) 13 + 6y = (20 + -5y) Solving 13 + 6y = 20 + -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. 13 + 6y + 5y = 20 + -5y + 5y Combine like terms: 6y + 5y = 11y 13 + 11y = 20 + -5y + 5y Combine like terms: -5y + 5y = 0 13 + 11y = 20 + 0 13 + 11y = 20 Add '-13' to each side of the equation. 13 + -13 + 11y = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 11y = 20 + -13 11y = 20 + -13 Combine like terms: 20 + -13 = 7 11y = 7 Divide each side by '11'. y = 0.6363636364 Simplifying y = 0.6363636364
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