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Simplifying (2y + -9) + -1(6y + -7) = -8y + -2 Reorder the terms: (-9 + 2y) + -1(6y + -7) = -8y + -2 Remove parenthesis around (-9 + 2y) -9 + 2y + -1(6y + -7) = -8y + -2 Reorder the terms: -9 + 2y + -1(-7 + 6y) = -8y + -2 -9 + 2y + (-7 * -1 + 6y * -1) = -8y + -2 -9 + 2y + (7 + -6y) = -8y + -2 Reorder the terms: -9 + 7 + 2y + -6y = -8y + -2 Combine like terms: -9 + 7 = -2 -2 + 2y + -6y = -8y + -2 Combine like terms: 2y + -6y = -4y -2 + -4y = -8y + -2 Reorder the terms: -2 + -4y = -2 + -8y Add '2' to each side of the equation. -2 + 2 + -4y = -2 + 2 + -8y Combine like terms: -2 + 2 = 0 0 + -4y = -2 + 2 + -8y -4y = -2 + 2 + -8y Combine like terms: -2 + 2 = 0 -4y = 0 + -8y -4y = -8y Solving -4y = -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. -4y + 8y = -8y + 8y Combine like terms: -4y + 8y = 4y 4y = -8y + 8y Combine like terms: -8y + 8y = 0 4y = 0 Divide each side by '4'. y = 0 Simplifying y = 0
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