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Simplifying -4y + -8(-7y + -2) = 7 + 8(-7 + -1y) Reorder the terms: -4y + -8(-2 + -7y) = 7 + 8(-7 + -1y) -4y + (-2 * -8 + -7y * -8) = 7 + 8(-7 + -1y) -4y + (16 + 56y) = 7 + 8(-7 + -1y) Reorder the terms: 16 + -4y + 56y = 7 + 8(-7 + -1y) Combine like terms: -4y + 56y = 52y 16 + 52y = 7 + 8(-7 + -1y) 16 + 52y = 7 + (-7 * 8 + -1y * 8) 16 + 52y = 7 + (-56 + -8y) Combine like terms: 7 + -56 = -49 16 + 52y = -49 + -8y Solving 16 + 52y = -49 + -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 + 52y + 8y = -49 + -8y + 8y Combine like terms: 52y + 8y = 60y 16 + 60y = -49 + -8y + 8y Combine like terms: -8y + 8y = 0 16 + 60y = -49 + 0 16 + 60y = -49 Add '-16' to each side of the equation. 16 + -16 + 60y = -49 + -16 Combine like terms: 16 + -16 = 0 0 + 60y = -49 + -16 60y = -49 + -16 Combine like terms: -49 + -16 = -65 60y = -65 Divide each side by '60'. y = -1.083333333 Simplifying y = -1.083333333
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