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Simplifying 3(y + -4) = (3y + -5 + -4y) + -1(2 + -5y + 10) Reorder the terms: 3(-4 + y) = (3y + -5 + -4y) + -1(2 + -5y + 10) (-4 * 3 + y * 3) = (3y + -5 + -4y) + -1(2 + -5y + 10) (-12 + 3y) = (3y + -5 + -4y) + -1(2 + -5y + 10) Reorder the terms: -12 + 3y = (-5 + 3y + -4y) + -1(2 + -5y + 10) Combine like terms: 3y + -4y = -1y -12 + 3y = (-5 + -1y) + -1(2 + -5y + 10) Remove parenthesis around (-5 + -1y) -12 + 3y = -5 + -1y + -1(2 + -5y + 10) Reorder the terms: -12 + 3y = -5 + -1y + -1(2 + 10 + -5y) Combine like terms: 2 + 10 = 12 -12 + 3y = -5 + -1y + -1(12 + -5y) -12 + 3y = -5 + -1y + (12 * -1 + -5y * -1) -12 + 3y = -5 + -1y + (-12 + 5y) Reorder the terms: -12 + 3y = -5 + -12 + -1y + 5y Combine like terms: -5 + -12 = -17 -12 + 3y = -17 + -1y + 5y Combine like terms: -1y + 5y = 4y -12 + 3y = -17 + 4y Solving -12 + 3y = -17 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + 3y + -4y = -17 + 4y + -4y Combine like terms: 3y + -4y = -1y -12 + -1y = -17 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + -1y = -17 + 0 -12 + -1y = -17 Add '12' to each side of the equation. -12 + 12 + -1y = -17 + 12 Combine like terms: -12 + 12 = 0 0 + -1y = -17 + 12 -1y = -17 + 12 Combine like terms: -17 + 12 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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