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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 = -1y 13 + -1y = 20 + -5y + 5y Combine like terms: -5y + 5y = 0 13 + -1y = 20 + 0 13 + -1y = 20 Add '-13' to each side of the equation. 13 + -13 + -1y = 20 + -13 Combine like terms: 13 + -13 = 0 0 + -1y = 20 + -13 -1y = 20 + -13 Combine like terms: 20 + -13 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7
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