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Simplifying 5y + -3 + 6(2y + -4) = -4(2y + -3) + 9 Reorder the terms: 5y + -3 + 6(-4 + 2y) = -4(2y + -3) + 9 5y + -3 + (-4 * 6 + 2y * 6) = -4(2y + -3) + 9 5y + -3 + (-24 + 12y) = -4(2y + -3) + 9 Reorder the terms: -3 + -24 + 5y + 12y = -4(2y + -3) + 9 Combine like terms: -3 + -24 = -27 -27 + 5y + 12y = -4(2y + -3) + 9 Combine like terms: 5y + 12y = 17y -27 + 17y = -4(2y + -3) + 9 Reorder the terms: -27 + 17y = -4(-3 + 2y) + 9 -27 + 17y = (-3 * -4 + 2y * -4) + 9 -27 + 17y = (12 + -8y) + 9 Reorder the terms: -27 + 17y = 12 + 9 + -8y Combine like terms: 12 + 9 = 21 -27 + 17y = 21 + -8y Solving -27 + 17y = 21 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -27 + 17y + 8y = 21 + -8y + 8y Combine like terms: 17y + 8y = 25y -27 + 25y = 21 + -8y + 8y Combine like terms: -8y + 8y = 0 -27 + 25y = 21 + 0 -27 + 25y = 21 Add '27' to each side of the equation. -27 + 27 + 25y = 21 + 27 Combine like terms: -27 + 27 = 0 0 + 25y = 21 + 27 25y = 21 + 27 Combine like terms: 21 + 27 = 48 25y = 48 Divide each side by '25'. y = 1.92 Simplifying y = 1.92
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