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Simplifying 8(y + 4) + -2(y + 1) = 70 + -3y Reorder the terms: 8(4 + y) + -2(y + 1) = 70 + -3y (4 * 8 + y * 8) + -2(y + 1) = 70 + -3y (32 + 8y) + -2(y + 1) = 70 + -3y Reorder the terms: 32 + 8y + -2(1 + y) = 70 + -3y 32 + 8y + (1 * -2 + y * -2) = 70 + -3y 32 + 8y + (-2 + -2y) = 70 + -3y Reorder the terms: 32 + -2 + 8y + -2y = 70 + -3y Combine like terms: 32 + -2 = 30 30 + 8y + -2y = 70 + -3y Combine like terms: 8y + -2y = 6y 30 + 6y = 70 + -3y Solving 30 + 6y = 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. 30 + 6y + 3y = 70 + -3y + 3y Combine like terms: 6y + 3y = 9y 30 + 9y = 70 + -3y + 3y Combine like terms: -3y + 3y = 0 30 + 9y = 70 + 0 30 + 9y = 70 Add '-30' to each side of the equation. 30 + -30 + 9y = 70 + -30 Combine like terms: 30 + -30 = 0 0 + 9y = 70 + -30 9y = 70 + -30 Combine like terms: 70 + -30 = 40 9y = 40 Divide each side by '9'. y = 4.444444444 Simplifying y = 4.444444444
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