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Simplifying -2y + 2(-4y + -5) = 1 + -1(-5 + -1y) Reorder the terms: -2y + 2(-5 + -4y) = 1 + -1(-5 + -1y) -2y + (-5 * 2 + -4y * 2) = 1 + -1(-5 + -1y) -2y + (-10 + -8y) = 1 + -1(-5 + -1y) Reorder the terms: -10 + -2y + -8y = 1 + -1(-5 + -1y) Combine like terms: -2y + -8y = -10y -10 + -10y = 1 + -1(-5 + -1y) -10 + -10y = 1 + (-5 * -1 + -1y * -1) -10 + -10y = 1 + (5 + 1y) Combine like terms: 1 + 5 = 6 -10 + -10y = 6 + 1y Solving -10 + -10y = 6 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -10 + -10y + -1y = 6 + 1y + -1y Combine like terms: -10y + -1y = -11y -10 + -11y = 6 + 1y + -1y Combine like terms: 1y + -1y = 0 -10 + -11y = 6 + 0 -10 + -11y = 6 Add '10' to each side of the equation. -10 + 10 + -11y = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -11y = 6 + 10 -11y = 6 + 10 Combine like terms: 6 + 10 = 16 -11y = 16 Divide each side by '-11'. y = -1.454545455 Simplifying y = -1.454545455
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