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Simplifying -71 + 23y + 9 = 6(5y + -3) + -2 Reorder the terms: -71 + 9 + 23y = 6(5y + -3) + -2 Combine like terms: -71 + 9 = -62 -62 + 23y = 6(5y + -3) + -2 Reorder the terms: -62 + 23y = 6(-3 + 5y) + -2 -62 + 23y = (-3 * 6 + 5y * 6) + -2 -62 + 23y = (-18 + 30y) + -2 Reorder the terms: -62 + 23y = -18 + -2 + 30y Combine like terms: -18 + -2 = -20 -62 + 23y = -20 + 30y Solving -62 + 23y = -20 + 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. -62 + 23y + -30y = -20 + 30y + -30y Combine like terms: 23y + -30y = -7y -62 + -7y = -20 + 30y + -30y Combine like terms: 30y + -30y = 0 -62 + -7y = -20 + 0 -62 + -7y = -20 Add '62' to each side of the equation. -62 + 62 + -7y = -20 + 62 Combine like terms: -62 + 62 = 0 0 + -7y = -20 + 62 -7y = -20 + 62 Combine like terms: -20 + 62 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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