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Simplifying 6 + -4(y + -5) = -3y + 14 Reorder the terms: 6 + -4(-5 + y) = -3y + 14 6 + (-5 * -4 + y * -4) = -3y + 14 6 + (20 + -4y) = -3y + 14 Combine like terms: 6 + 20 = 26 26 + -4y = -3y + 14 Reorder the terms: 26 + -4y = 14 + -3y Solving 26 + -4y = 14 + -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. 26 + -4y + 3y = 14 + -3y + 3y Combine like terms: -4y + 3y = -1y 26 + -1y = 14 + -3y + 3y Combine like terms: -3y + 3y = 0 26 + -1y = 14 + 0 26 + -1y = 14 Add '-26' to each side of the equation. 26 + -26 + -1y = 14 + -26 Combine like terms: 26 + -26 = 0 0 + -1y = 14 + -26 -1y = 14 + -26 Combine like terms: 14 + -26 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12
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