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Simplifying 4y + 1 = -9(y + -3) Reorder the terms: 1 + 4y = -9(y + -3) Reorder the terms: 1 + 4y = -9(-3 + y) 1 + 4y = (-3 * -9 + y * -9) 1 + 4y = (27 + -9y) Solving 1 + 4y = 27 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 1 + 4y + 9y = 27 + -9y + 9y Combine like terms: 4y + 9y = 13y 1 + 13y = 27 + -9y + 9y Combine like terms: -9y + 9y = 0 1 + 13y = 27 + 0 1 + 13y = 27 Add '-1' to each side of the equation. 1 + -1 + 13y = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 13y = 27 + -1 13y = 27 + -1 Combine like terms: 27 + -1 = 26 13y = 26 Divide each side by '13'. y = 2 Simplifying y = 2
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