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Simplifying 3(y + -4) = -2(y + 3) + 14 Reorder the terms: 3(-4 + y) = -2(y + 3) + 14 (-4 * 3 + y * 3) = -2(y + 3) + 14 (-12 + 3y) = -2(y + 3) + 14 Reorder the terms: -12 + 3y = -2(3 + y) + 14 -12 + 3y = (3 * -2 + y * -2) + 14 -12 + 3y = (-6 + -2y) + 14 Reorder the terms: -12 + 3y = -6 + 14 + -2y Combine like terms: -6 + 14 = 8 -12 + 3y = 8 + -2y Solving -12 + 3y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -12 + 3y + 2y = 8 + -2y + 2y Combine like terms: 3y + 2y = 5y -12 + 5y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 -12 + 5y = 8 + 0 -12 + 5y = 8 Add '12' to each side of the equation. -12 + 12 + 5y = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 5y = 8 + 12 5y = 8 + 12 Combine like terms: 8 + 12 = 20 5y = 20 Divide each side by '5'. y = 4 Simplifying y = 4
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