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Simplifying 3(y + -4) + 2(4y + -21) = 6 Reorder the terms: 3(-4 + y) + 2(4y + -21) = 6 (-4 * 3 + y * 3) + 2(4y + -21) = 6 (-12 + 3y) + 2(4y + -21) = 6 Reorder the terms: -12 + 3y + 2(-21 + 4y) = 6 -12 + 3y + (-21 * 2 + 4y * 2) = 6 -12 + 3y + (-42 + 8y) = 6 Reorder the terms: -12 + -42 + 3y + 8y = 6 Combine like terms: -12 + -42 = -54 -54 + 3y + 8y = 6 Combine like terms: 3y + 8y = 11y -54 + 11y = 6 Solving -54 + 11y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + 11y = 6 + 54 Combine like terms: -54 + 54 = 0 0 + 11y = 6 + 54 11y = 6 + 54 Combine like terms: 6 + 54 = 60 11y = 60 Divide each side by '11'. y = 5.454545455 Simplifying y = 5.454545455
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