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Simplifying 3(y + -4) + -2(3y + -4) = (2 + -5y) Reorder the terms: 3(-4 + y) + -2(3y + -4) = (2 + -5y) (-4 * 3 + y * 3) + -2(3y + -4) = (2 + -5y) (-12 + 3y) + -2(3y + -4) = (2 + -5y) Reorder the terms: -12 + 3y + -2(-4 + 3y) = (2 + -5y) -12 + 3y + (-4 * -2 + 3y * -2) = (2 + -5y) -12 + 3y + (8 + -6y) = (2 + -5y) Reorder the terms: -12 + 8 + 3y + -6y = (2 + -5y) Combine like terms: -12 + 8 = -4 -4 + 3y + -6y = (2 + -5y) Combine like terms: 3y + -6y = -3y -4 + -3y = (2 + -5y) Remove parenthesis around (2 + -5y) -4 + -3y = 2 + -5y Solving -4 + -3y = 2 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -4 + -3y + 5y = 2 + -5y + 5y Combine like terms: -3y + 5y = 2y -4 + 2y = 2 + -5y + 5y Combine like terms: -5y + 5y = 0 -4 + 2y = 2 + 0 -4 + 2y = 2 Add '4' to each side of the equation. -4 + 4 + 2y = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 2 + 4 2y = 2 + 4 Combine like terms: 2 + 4 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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