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Simplifying -102 + 22y + 7 = 6(5y + -5) + -9 Reorder the terms: -102 + 7 + 22y = 6(5y + -5) + -9 Combine like terms: -102 + 7 = -95 -95 + 22y = 6(5y + -5) + -9 Reorder the terms: -95 + 22y = 6(-5 + 5y) + -9 -95 + 22y = (-5 * 6 + 5y * 6) + -9 -95 + 22y = (-30 + 30y) + -9 Reorder the terms: -95 + 22y = -30 + -9 + 30y Combine like terms: -30 + -9 = -39 -95 + 22y = -39 + 30y Solving -95 + 22y = -39 + 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. -95 + 22y + -30y = -39 + 30y + -30y Combine like terms: 22y + -30y = -8y -95 + -8y = -39 + 30y + -30y Combine like terms: 30y + -30y = 0 -95 + -8y = -39 + 0 -95 + -8y = -39 Add '95' to each side of the equation. -95 + 95 + -8y = -39 + 95 Combine like terms: -95 + 95 = 0 0 + -8y = -39 + 95 -8y = -39 + 95 Combine like terms: -39 + 95 = 56 -8y = 56 Divide each side by '-8'. y = -7 Simplifying y = -7
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