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Simplifying -6y + 2(-1y + -7) = -3 + -3(3 + -1y) Reorder the terms: -6y + 2(-7 + -1y) = -3 + -3(3 + -1y) -6y + (-7 * 2 + -1y * 2) = -3 + -3(3 + -1y) -6y + (-14 + -2y) = -3 + -3(3 + -1y) Reorder the terms: -14 + -6y + -2y = -3 + -3(3 + -1y) Combine like terms: -6y + -2y = -8y -14 + -8y = -3 + -3(3 + -1y) -14 + -8y = -3 + (3 * -3 + -1y * -3) -14 + -8y = -3 + (-9 + 3y) Combine like terms: -3 + -9 = -12 -14 + -8y = -12 + 3y Solving -14 + -8y = -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. -14 + -8y + -3y = -12 + 3y + -3y Combine like terms: -8y + -3y = -11y -14 + -11y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -14 + -11y = -12 + 0 -14 + -11y = -12 Add '14' to each side of the equation. -14 + 14 + -11y = -12 + 14 Combine like terms: -14 + 14 = 0 0 + -11y = -12 + 14 -11y = -12 + 14 Combine like terms: -12 + 14 = 2 -11y = 2 Divide each side by '-11'. y = -0.1818181818 Simplifying y = -0.1818181818
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