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Simplifying 4(y + -6) + -9 = -6(-5y + 4) + -8y Reorder the terms: 4(-6 + y) + -9 = -6(-5y + 4) + -8y (-6 * 4 + y * 4) + -9 = -6(-5y + 4) + -8y (-24 + 4y) + -9 = -6(-5y + 4) + -8y Reorder the terms: -24 + -9 + 4y = -6(-5y + 4) + -8y Combine like terms: -24 + -9 = -33 -33 + 4y = -6(-5y + 4) + -8y Reorder the terms: -33 + 4y = -6(4 + -5y) + -8y -33 + 4y = (4 * -6 + -5y * -6) + -8y -33 + 4y = (-24 + 30y) + -8y Combine like terms: 30y + -8y = 22y -33 + 4y = -24 + 22y Solving -33 + 4y = -24 + 22y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22y' to each side of the equation. -33 + 4y + -22y = -24 + 22y + -22y Combine like terms: 4y + -22y = -18y -33 + -18y = -24 + 22y + -22y Combine like terms: 22y + -22y = 0 -33 + -18y = -24 + 0 -33 + -18y = -24 Add '33' to each side of the equation. -33 + 33 + -18y = -24 + 33 Combine like terms: -33 + 33 = 0 0 + -18y = -24 + 33 -18y = -24 + 33 Combine like terms: -24 + 33 = 9 -18y = 9 Divide each side by '-18'. y = -0.5 Simplifying y = -0.5
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