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Simplifying (2y + -9) + -1(6y + -3) = 4y + -6 Reorder the terms: (-9 + 2y) + -1(6y + -3) = 4y + -6 Remove parenthesis around (-9 + 2y) -9 + 2y + -1(6y + -3) = 4y + -6 Reorder the terms: -9 + 2y + -1(-3 + 6y) = 4y + -6 -9 + 2y + (-3 * -1 + 6y * -1) = 4y + -6 -9 + 2y + (3 + -6y) = 4y + -6 Reorder the terms: -9 + 3 + 2y + -6y = 4y + -6 Combine like terms: -9 + 3 = -6 -6 + 2y + -6y = 4y + -6 Combine like terms: 2y + -6y = -4y -6 + -4y = 4y + -6 Reorder the terms: -6 + -4y = -6 + 4y Add '6' to each side of the equation. -6 + 6 + -4y = -6 + 6 + 4y Combine like terms: -6 + 6 = 0 0 + -4y = -6 + 6 + 4y -4y = -6 + 6 + 4y Combine like terms: -6 + 6 = 0 -4y = 0 + 4y -4y = 4y Solving -4y = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -4y + -4y = 4y + -4y Combine like terms: -4y + -4y = -8y -8y = 4y + -4y Combine like terms: 4y + -4y = 0 -8y = 0 Divide each side by '-8'. y = 0 Simplifying y = 0
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