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Simplifying -5y + 7(-7y + -7) = -9 + -3(1 + -1y) Reorder the terms: -5y + 7(-7 + -7y) = -9 + -3(1 + -1y) -5y + (-7 * 7 + -7y * 7) = -9 + -3(1 + -1y) -5y + (-49 + -49y) = -9 + -3(1 + -1y) Reorder the terms: -49 + -5y + -49y = -9 + -3(1 + -1y) Combine like terms: -5y + -49y = -54y -49 + -54y = -9 + -3(1 + -1y) -49 + -54y = -9 + (1 * -3 + -1y * -3) -49 + -54y = -9 + (-3 + 3y) Combine like terms: -9 + -3 = -12 -49 + -54y = -12 + 3y Solving -49 + -54y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -49 + -54y + -3y = -12 + 3y + -3y Combine like terms: -54y + -3y = -57y -49 + -57y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -49 + -57y = -12 + 0 -49 + -57y = -12 Add '49' to each side of the equation. -49 + 49 + -57y = -12 + 49 Combine like terms: -49 + 49 = 0 0 + -57y = -12 + 49 -57y = -12 + 49 Combine like terms: -12 + 49 = 37 -57y = 37 Divide each side by '-57'. y = -0.649122807 Simplifying y = -0.649122807
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