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Simplifying -5y + -13 = -2(y + 5) Reorder the terms: -13 + -5y = -2(y + 5) Reorder the terms: -13 + -5y = -2(5 + y) -13 + -5y = (5 * -2 + y * -2) -13 + -5y = (-10 + -2y) Solving -13 + -5y = -10 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -13 + -5y + 2y = -10 + -2y + 2y Combine like terms: -5y + 2y = -3y -13 + -3y = -10 + -2y + 2y Combine like terms: -2y + 2y = 0 -13 + -3y = -10 + 0 -13 + -3y = -10 Add '13' to each side of the equation. -13 + 13 + -3y = -10 + 13 Combine like terms: -13 + 13 = 0 0 + -3y = -10 + 13 -3y = -10 + 13 Combine like terms: -10 + 13 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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