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Simplifying 4(y + 4) = 2(17 + -2y) Reorder the terms: 4(4 + y) = 2(17 + -2y) (4 * 4 + y * 4) = 2(17 + -2y) (16 + 4y) = 2(17 + -2y) 16 + 4y = (17 * 2 + -2y * 2) 16 + 4y = (34 + -4y) Solving 16 + 4y = 34 + -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. 16 + 4y + 4y = 34 + -4y + 4y Combine like terms: 4y + 4y = 8y 16 + 8y = 34 + -4y + 4y Combine like terms: -4y + 4y = 0 16 + 8y = 34 + 0 16 + 8y = 34 Add '-16' to each side of the equation. 16 + -16 + 8y = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 8y = 34 + -16 8y = 34 + -16 Combine like terms: 34 + -16 = 18 8y = 18 Divide each side by '8'. y = 2.25 Simplifying y = 2.25
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