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Simplifying 0.25(8y + 4) + -17 = -0.5(4y + -8) Reorder the terms: 0.25(4 + 8y) + -17 = -0.5(4y + -8) (4 * 0.25 + 8y * 0.25) + -17 = -0.5(4y + -8) (1 + 2y) + -17 = -0.5(4y + -8) Reorder the terms: 1 + -17 + 2y = -0.5(4y + -8) Combine like terms: 1 + -17 = -16 -16 + 2y = -0.5(4y + -8) Reorder the terms: -16 + 2y = -0.5(-8 + 4y) -16 + 2y = (-8 * -0.5 + 4y * -0.5) -16 + 2y = (4 + -2y) Solving -16 + 2y = 4 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -16 + 2y + 2y = 4 + -2y + 2y Combine like terms: 2y + 2y = 4y -16 + 4y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 -16 + 4y = 4 + 0 -16 + 4y = 4 Add '16' to each side of the equation. -16 + 16 + 4y = 4 + 16 Combine like terms: -16 + 16 = 0 0 + 4y = 4 + 16 4y = 4 + 16 Combine like terms: 4 + 16 = 20 4y = 20 Divide each side by '4'. y = 5 Simplifying y = 5
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