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Simplifying 6(2y + -8) + -1(8y + 6) = 0 Reorder the terms: 6(-8 + 2y) + -1(8y + 6) = 0 (-8 * 6 + 2y * 6) + -1(8y + 6) = 0 (-48 + 12y) + -1(8y + 6) = 0 Reorder the terms: -48 + 12y + -1(6 + 8y) = 0 -48 + 12y + (6 * -1 + 8y * -1) = 0 -48 + 12y + (-6 + -8y) = 0 Reorder the terms: -48 + -6 + 12y + -8y = 0 Combine like terms: -48 + -6 = -54 -54 + 12y + -8y = 0 Combine like terms: 12y + -8y = 4y -54 + 4y = 0 Solving -54 + 4y = 0 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 + 4y = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 4y = 0 + 54 4y = 0 + 54 Combine like terms: 0 + 54 = 54 4y = 54 Divide each side by '4'. y = 13.5 Simplifying y = 13.5
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