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Simplifying 4(3 + -7y) + 10 = -10y + 86 (3 * 4 + -7y * 4) + 10 = -10y + 86 (12 + -28y) + 10 = -10y + 86 Reorder the terms: 12 + 10 + -28y = -10y + 86 Combine like terms: 12 + 10 = 22 22 + -28y = -10y + 86 Reorder the terms: 22 + -28y = 86 + -10y Solving 22 + -28y = 86 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 22 + -28y + 10y = 86 + -10y + 10y Combine like terms: -28y + 10y = -18y 22 + -18y = 86 + -10y + 10y Combine like terms: -10y + 10y = 0 22 + -18y = 86 + 0 22 + -18y = 86 Add '-22' to each side of the equation. 22 + -22 + -18y = 86 + -22 Combine like terms: 22 + -22 = 0 0 + -18y = 86 + -22 -18y = 86 + -22 Combine like terms: 86 + -22 = 64 -18y = 64 Divide each side by '-18'. y = -3.555555556 Simplifying y = -3.555555556
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