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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 = 8y -13 + 8y = 3 + -3y + 3y Combine like terms: -3y + 3y = 0 -13 + 8y = 3 + 0 -13 + 8y = 3 Add '13' to each side of the equation. -13 + 13 + 8y = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 8y = 3 + 13 8y = 3 + 13 Combine like terms: 3 + 13 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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