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Simplifying 8(1y + 4) + -2(1y + -1) = 70 + -3y Reorder the terms: 8(4 + 1y) + -2(1y + -1) = 70 + -3y (4 * 8 + 1y * 8) + -2(1y + -1) = 70 + -3y (32 + 8y) + -2(1y + -1) = 70 + -3y Reorder the terms: 32 + 8y + -2(-1 + 1y) = 70 + -3y 32 + 8y + (-1 * -2 + 1y * -2) = 70 + -3y 32 + 8y + (2 + -2y) = 70 + -3y Reorder the terms: 32 + 2 + 8y + -2y = 70 + -3y Combine like terms: 32 + 2 = 34 34 + 8y + -2y = 70 + -3y Combine like terms: 8y + -2y = 6y 34 + 6y = 70 + -3y Solving 34 + 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. 34 + 6y + 3y = 70 + -3y + 3y Combine like terms: 6y + 3y = 9y 34 + 9y = 70 + -3y + 3y Combine like terms: -3y + 3y = 0 34 + 9y = 70 + 0 34 + 9y = 70 Add '-34' to each side of the equation. 34 + -34 + 9y = 70 + -34 Combine like terms: 34 + -34 = 0 0 + 9y = 70 + -34 9y = 70 + -34 Combine like terms: 70 + -34 = 36 9y = 36 Divide each side by '9'. y = 4 Simplifying y = 4
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