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Simplifying 9y + 13 = 2(4y + 3) Reorder the terms: 13 + 9y = 2(4y + 3) Reorder the terms: 13 + 9y = 2(3 + 4y) 13 + 9y = (3 * 2 + 4y * 2) 13 + 9y = (6 + 8y) Solving 13 + 9y = 6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 13 + 9y + -8y = 6 + 8y + -8y Combine like terms: 9y + -8y = 1y 13 + 1y = 6 + 8y + -8y Combine like terms: 8y + -8y = 0 13 + 1y = 6 + 0 13 + 1y = 6 Add '-13' to each side of the equation. 13 + -13 + 1y = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 6 + -13 1y = 6 + -13 Combine like terms: 6 + -13 = -7 1y = -7 Divide each side by '1'. y = -7 Simplifying y = -7
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