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Simplifying 4(4y + -7) + -1(8y + 6) = 0 Reorder the terms: 4(-7 + 4y) + -1(8y + 6) = 0 (-7 * 4 + 4y * 4) + -1(8y + 6) = 0 (-28 + 16y) + -1(8y + 6) = 0 Reorder the terms: -28 + 16y + -1(6 + 8y) = 0 -28 + 16y + (6 * -1 + 8y * -1) = 0 -28 + 16y + (-6 + -8y) = 0 Reorder the terms: -28 + -6 + 16y + -8y = 0 Combine like terms: -28 + -6 = -34 -34 + 16y + -8y = 0 Combine like terms: 16y + -8y = 8y -34 + 8y = 0 Solving -34 + 8y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 8y = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 8y = 0 + 34 8y = 0 + 34 Combine like terms: 0 + 34 = 34 8y = 34 Divide each side by '8'. y = 4.25 Simplifying y = 4.25
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