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Simplifying 4(6y + -3) + -1(8y + 7) = 0 Reorder the terms: 4(-3 + 6y) + -1(8y + 7) = 0 (-3 * 4 + 6y * 4) + -1(8y + 7) = 0 (-12 + 24y) + -1(8y + 7) = 0 Reorder the terms: -12 + 24y + -1(7 + 8y) = 0 -12 + 24y + (7 * -1 + 8y * -1) = 0 -12 + 24y + (-7 + -8y) = 0 Reorder the terms: -12 + -7 + 24y + -8y = 0 Combine like terms: -12 + -7 = -19 -19 + 24y + -8y = 0 Combine like terms: 24y + -8y = 16y -19 + 16y = 0 Solving -19 + 16y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 16y = 0 + 19 Combine like terms: -19 + 19 = 0 0 + 16y = 0 + 19 16y = 0 + 19 Combine like terms: 0 + 19 = 19 16y = 19 Divide each side by '16'. y = 1.1875 Simplifying y = 1.1875
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