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Simplifying 5y + -13 = -3(y + 7) Reorder the terms: -13 + 5y = -3(y + 7) Reorder the terms: -13 + 5y = -3(7 + y) -13 + 5y = (7 * -3 + y * -3) -13 + 5y = (-21 + -3y) Solving -13 + 5y = -21 + -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 = -21 + -3y + 3y Combine like terms: 5y + 3y = 8y -13 + 8y = -21 + -3y + 3y Combine like terms: -3y + 3y = 0 -13 + 8y = -21 + 0 -13 + 8y = -21 Add '13' to each side of the equation. -13 + 13 + 8y = -21 + 13 Combine like terms: -13 + 13 = 0 0 + 8y = -21 + 13 8y = -21 + 13 Combine like terms: -21 + 13 = -8 8y = -8 Divide each side by '8'. y = -1 Simplifying y = -1
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