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Simplifying (y + 17) * 2 = 4y + -12 Reorder the terms: (17 + y) * 2 = 4y + -12 Reorder the terms for easier multiplication: 2(17 + y) = 4y + -12 (17 * 2 + y * 2) = 4y + -12 (34 + 2y) = 4y + -12 Reorder the terms: 34 + 2y = -12 + 4y Solving 34 + 2y = -12 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 34 + 2y + -4y = -12 + 4y + -4y Combine like terms: 2y + -4y = -2y 34 + -2y = -12 + 4y + -4y Combine like terms: 4y + -4y = 0 34 + -2y = -12 + 0 34 + -2y = -12 Add '-34' to each side of the equation. 34 + -34 + -2y = -12 + -34 Combine like terms: 34 + -34 = 0 0 + -2y = -12 + -34 -2y = -12 + -34 Combine like terms: -12 + -34 = -46 -2y = -46 Divide each side by '-2'. y = 23 Simplifying y = 23
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