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Simplifying 4(3y + -1) + -1(4y + 1) = 0 Reorder the terms: 4(-1 + 3y) + -1(4y + 1) = 0 (-1 * 4 + 3y * 4) + -1(4y + 1) = 0 (-4 + 12y) + -1(4y + 1) = 0 Reorder the terms: -4 + 12y + -1(1 + 4y) = 0 -4 + 12y + (1 * -1 + 4y * -1) = 0 -4 + 12y + (-1 + -4y) = 0 Reorder the terms: -4 + -1 + 12y + -4y = 0 Combine like terms: -4 + -1 = -5 -5 + 12y + -4y = 0 Combine like terms: 12y + -4y = 8y -5 + 8y = 0 Solving -5 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 0 + 5 8y = 0 + 5 Combine like terms: 0 + 5 = 5 8y = 5 Divide each side by '8'. y = 0.625 Simplifying y = 0.625
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