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