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Simplifying 4(-3y + 1) = -10(y + -4) + -14y Reorder the terms: 4(1 + -3y) = -10(y + -4) + -14y (1 * 4 + -3y * 4) = -10(y + -4) + -14y (4 + -12y) = -10(y + -4) + -14y Reorder the terms: 4 + -12y = -10(-4 + y) + -14y 4 + -12y = (-4 * -10 + y * -10) + -14y 4 + -12y = (40 + -10y) + -14y Combine like terms: -10y + -14y = -24y 4 + -12y = 40 + -24y Solving 4 + -12y = 40 + -24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '24y' to each side of the equation. 4 + -12y + 24y = 40 + -24y + 24y Combine like terms: -12y + 24y = 12y 4 + 12y = 40 + -24y + 24y Combine like terms: -24y + 24y = 0 4 + 12y = 40 + 0 4 + 12y = 40 Add '-4' to each side of the equation. 4 + -4 + 12y = 40 + -4 Combine like terms: 4 + -4 = 0 0 + 12y = 40 + -4 12y = 40 + -4 Combine like terms: 40 + -4 = 36 12y = 36 Divide each side by '12'. y = 3 Simplifying y = 3
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