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Simplifying 8(y + 4) + -2(4 + -1) = 70 + -3y Reorder the terms: 8(4 + y) + -2(4 + -1) = 70 + -3y (4 * 8 + y * 8) + -2(4 + -1) = 70 + -3y (32 + 8y) + -2(4 + -1) = 70 + -3y Combine like terms: 4 + -1 = 3 32 + 8y + -2(3) = 70 + -3y Multiply -2 * 3 32 + 8y + -6 = 70 + -3y Reorder the terms: 32 + -6 + 8y = 70 + -3y Combine like terms: 32 + -6 = 26 26 + 8y = 70 + -3y Solving 26 + 8y = 70 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 26 + 8y + 3y = 70 + -3y + 3y Combine like terms: 8y + 3y = 11y 26 + 11y = 70 + -3y + 3y Combine like terms: -3y + 3y = 0 26 + 11y = 70 + 0 26 + 11y = 70 Add '-26' to each side of the equation. 26 + -26 + 11y = 70 + -26 Combine like terms: 26 + -26 = 0 0 + 11y = 70 + -26 11y = 70 + -26 Combine like terms: 70 + -26 = 44 11y = 44 Divide each side by '11'. y = 4 Simplifying y = 4
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