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Simplifying -65 + 27y + 8 = 6(5y + -4) + -9 Reorder the terms: -65 + 8 + 27y = 6(5y + -4) + -9 Combine like terms: -65 + 8 = -57 -57 + 27y = 6(5y + -4) + -9 Reorder the terms: -57 + 27y = 6(-4 + 5y) + -9 -57 + 27y = (-4 * 6 + 5y * 6) + -9 -57 + 27y = (-24 + 30y) + -9 Reorder the terms: -57 + 27y = -24 + -9 + 30y Combine like terms: -24 + -9 = -33 -57 + 27y = -33 + 30y Solving -57 + 27y = -33 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -57 + 27y + -30y = -33 + 30y + -30y Combine like terms: 27y + -30y = -3y -57 + -3y = -33 + 30y + -30y Combine like terms: 30y + -30y = 0 -57 + -3y = -33 + 0 -57 + -3y = -33 Add '57' to each side of the equation. -57 + 57 + -3y = -33 + 57 Combine like terms: -57 + 57 = 0 0 + -3y = -33 + 57 -3y = -33 + 57 Combine like terms: -33 + 57 = 24 -3y = 24 Divide each side by '-3'. y = -8 Simplifying y = -8
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