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Simplifying -4y + -2(4y + -8) = 1 + -8(-2 + -1y) Reorder the terms: -4y + -2(-8 + 4y) = 1 + -8(-2 + -1y) -4y + (-8 * -2 + 4y * -2) = 1 + -8(-2 + -1y) -4y + (16 + -8y) = 1 + -8(-2 + -1y) Reorder the terms: 16 + -4y + -8y = 1 + -8(-2 + -1y) Combine like terms: -4y + -8y = -12y 16 + -12y = 1 + -8(-2 + -1y) 16 + -12y = 1 + (-2 * -8 + -1y * -8) 16 + -12y = 1 + (16 + 8y) Combine like terms: 1 + 16 = 17 16 + -12y = 17 + 8y Solving 16 + -12y = 17 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 16 + -12y + -8y = 17 + 8y + -8y Combine like terms: -12y + -8y = -20y 16 + -20y = 17 + 8y + -8y Combine like terms: 8y + -8y = 0 16 + -20y = 17 + 0 16 + -20y = 17 Add '-16' to each side of the equation. 16 + -16 + -20y = 17 + -16 Combine like terms: 16 + -16 = 0 0 + -20y = 17 + -16 -20y = 17 + -16 Combine like terms: 17 + -16 = 1 -20y = 1 Divide each side by '-20'. y = -0.05 Simplifying y = -0.05
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