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Simplifying -67 + 22y + 2 = 6(5y + -2) + -5 Reorder the terms: -67 + 2 + 22y = 6(5y + -2) + -5 Combine like terms: -67 + 2 = -65 -65 + 22y = 6(5y + -2) + -5 Reorder the terms: -65 + 22y = 6(-2 + 5y) + -5 -65 + 22y = (-2 * 6 + 5y * 6) + -5 -65 + 22y = (-12 + 30y) + -5 Reorder the terms: -65 + 22y = -12 + -5 + 30y Combine like terms: -12 + -5 = -17 -65 + 22y = -17 + 30y Solving -65 + 22y = -17 + 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. -65 + 22y + -30y = -17 + 30y + -30y Combine like terms: 22y + -30y = -8y -65 + -8y = -17 + 30y + -30y Combine like terms: 30y + -30y = 0 -65 + -8y = -17 + 0 -65 + -8y = -17 Add '65' to each side of the equation. -65 + 65 + -8y = -17 + 65 Combine like terms: -65 + 65 = 0 0 + -8y = -17 + 65 -8y = -17 + 65 Combine like terms: -17 + 65 = 48 -8y = 48 Divide each side by '-8'. y = -6 Simplifying y = -6
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