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Simplifying ((3y + 4) * 2) + ((y + 3) * 2) = 70 Reorder the terms: ((4 + 3y) * 2) + ((y + 3) * 2) = 70 Reorder the terms for easier multiplication: (2(4 + 3y)) + ((y + 3) * 2) = 70 ((4 * 2 + 3y * 2)) + ((y + 3) * 2) = 70 ((8 + 6y)) + ((y + 3) * 2) = 70 (8 + 6y) + ((y + 3) * 2) = 70 Remove parenthesis around (8 + 6y) 8 + 6y + ((y + 3) * 2) = 70 Reorder the terms: 8 + 6y + ((3 + y) * 2) = 70 Reorder the terms for easier multiplication: 8 + 6y + (2(3 + y)) = 70 8 + 6y + ((3 * 2 + y * 2)) = 70 8 + 6y + ((6 + 2y)) = 70 8 + 6y + (6 + 2y) = 70 Remove parenthesis around (6 + 2y) 8 + 6y + 6 + 2y = 70 Reorder the terms: 8 + 6 + 6y + 2y = 70 Combine like terms: 8 + 6 = 14 14 + 6y + 2y = 70 Combine like terms: 6y + 2y = 8y 14 + 8y = 70 Solving 14 + 8y = 70 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 8y = 70 + -14 Combine like terms: 14 + -14 = 0 0 + 8y = 70 + -14 8y = 70 + -14 Combine like terms: 70 + -14 = 56 8y = 56 Divide each side by '8'. y = 7 Simplifying y = 7
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