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Simplifying 3(4y + -5) + -4(y + 7) = 0 Reorder the terms: 3(-5 + 4y) + -4(y + 7) = 0 (-5 * 3 + 4y * 3) + -4(y + 7) = 0 (-15 + 12y) + -4(y + 7) = 0 Reorder the terms: -15 + 12y + -4(7 + y) = 0 -15 + 12y + (7 * -4 + y * -4) = 0 -15 + 12y + (-28 + -4y) = 0 Reorder the terms: -15 + -28 + 12y + -4y = 0 Combine like terms: -15 + -28 = -43 -43 + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y -43 + 8y = 0 Solving -43 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 43 + 8y = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 8y = 0 + 43 8y = 0 + 43 Combine like terms: 0 + 43 = 43 8y = 43 Divide each side by '8'. y = 5.375 Simplifying y = 5.375
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