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Simplifying -92 + 22y + 7 = 6(5y + -3) + -3 Reorder the terms: -92 + 7 + 22y = 6(5y + -3) + -3 Combine like terms: -92 + 7 = -85 -85 + 22y = 6(5y + -3) + -3 Reorder the terms: -85 + 22y = 6(-3 + 5y) + -3 -85 + 22y = (-3 * 6 + 5y * 6) + -3 -85 + 22y = (-18 + 30y) + -3 Reorder the terms: -85 + 22y = -18 + -3 + 30y Combine like terms: -18 + -3 = -21 -85 + 22y = -21 + 30y Solving -85 + 22y = -21 + 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. -85 + 22y + -30y = -21 + 30y + -30y Combine like terms: 22y + -30y = -8y -85 + -8y = -21 + 30y + -30y Combine like terms: 30y + -30y = 0 -85 + -8y = -21 + 0 -85 + -8y = -21 Add '85' to each side of the equation. -85 + 85 + -8y = -21 + 85 Combine like terms: -85 + 85 = 0 0 + -8y = -21 + 85 -8y = -21 + 85 Combine like terms: -21 + 85 = 64 -8y = 64 Divide each side by '-8'. y = -8 Simplifying y = -8
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