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Simplifying 3(y + -4) + 2(4y + -2) = 6 Reorder the terms: 3(-4 + y) + 2(4y + -2) = 6 (-4 * 3 + y * 3) + 2(4y + -2) = 6 (-12 + 3y) + 2(4y + -2) = 6 Reorder the terms: -12 + 3y + 2(-2 + 4y) = 6 -12 + 3y + (-2 * 2 + 4y * 2) = 6 -12 + 3y + (-4 + 8y) = 6 Reorder the terms: -12 + -4 + 3y + 8y = 6 Combine like terms: -12 + -4 = -16 -16 + 3y + 8y = 6 Combine like terms: 3y + 8y = 11y -16 + 11y = 6 Solving -16 + 11y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 11y = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 11y = 6 + 16 11y = 6 + 16 Combine like terms: 6 + 16 = 22 11y = 22 Divide each side by '11'. y = 2 Simplifying y = 2
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