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Simplifying -4(-3y + 4) + -1y = 3(y + -9) + -3 Reorder the terms: -4(4 + -3y) + -1y = 3(y + -9) + -3 (4 * -4 + -3y * -4) + -1y = 3(y + -9) + -3 (-16 + 12y) + -1y = 3(y + -9) + -3 Combine like terms: 12y + -1y = 11y -16 + 11y = 3(y + -9) + -3 Reorder the terms: -16 + 11y = 3(-9 + y) + -3 -16 + 11y = (-9 * 3 + y * 3) + -3 -16 + 11y = (-27 + 3y) + -3 Reorder the terms: -16 + 11y = -27 + -3 + 3y Combine like terms: -27 + -3 = -30 -16 + 11y = -30 + 3y Solving -16 + 11y = -30 + 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. -16 + 11y + -3y = -30 + 3y + -3y Combine like terms: 11y + -3y = 8y -16 + 8y = -30 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + 8y = -30 + 0 -16 + 8y = -30 Add '16' to each side of the equation. -16 + 16 + 8y = -30 + 16 Combine like terms: -16 + 16 = 0 0 + 8y = -30 + 16 8y = -30 + 16 Combine like terms: -30 + 16 = -14 8y = -14 Divide each side by '8'. y = -1.75 Simplifying y = -1.75
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