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Simplifying -4y + 13 = 3(y + 9) Reorder the terms: 13 + -4y = 3(y + 9) Reorder the terms: 13 + -4y = 3(9 + y) 13 + -4y = (9 * 3 + y * 3) 13 + -4y = (27 + 3y) Solving 13 + -4y = 27 + 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 + -4y + -3y = 27 + 3y + -3y Combine like terms: -4y + -3y = -7y 13 + -7y = 27 + 3y + -3y Combine like terms: 3y + -3y = 0 13 + -7y = 27 + 0 13 + -7y = 27 Add '-13' to each side of the equation. 13 + -13 + -7y = 27 + -13 Combine like terms: 13 + -13 = 0 0 + -7y = 27 + -13 -7y = 27 + -13 Combine like terms: 27 + -13 = 14 -7y = 14 Divide each side by '-7'. y = -2 Simplifying y = -2
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