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Simplifying -4y + 3(4y + 4) = -4 + -9(4 + -1y) Reorder the terms: -4y + 3(4 + 4y) = -4 + -9(4 + -1y) -4y + (4 * 3 + 4y * 3) = -4 + -9(4 + -1y) -4y + (12 + 12y) = -4 + -9(4 + -1y) Reorder the terms: 12 + -4y + 12y = -4 + -9(4 + -1y) Combine like terms: -4y + 12y = 8y 12 + 8y = -4 + -9(4 + -1y) 12 + 8y = -4 + (4 * -9 + -1y * -9) 12 + 8y = -4 + (-36 + 9y) Combine like terms: -4 + -36 = -40 12 + 8y = -40 + 9y Solving 12 + 8y = -40 + 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. 12 + 8y + -9y = -40 + 9y + -9y Combine like terms: 8y + -9y = -1y 12 + -1y = -40 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + -1y = -40 + 0 12 + -1y = -40 Add '-12' to each side of the equation. 12 + -12 + -1y = -40 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = -40 + -12 -1y = -40 + -12 Combine like terms: -40 + -12 = -52 -1y = -52 Divide each side by '-1'. y = 52 Simplifying y = 52
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