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Simplifying 2(y + -9) + -3 = -3(-3y + 6) + -1y Reorder the terms: 2(-9 + y) + -3 = -3(-3y + 6) + -1y (-9 * 2 + y * 2) + -3 = -3(-3y + 6) + -1y (-18 + 2y) + -3 = -3(-3y + 6) + -1y Reorder the terms: -18 + -3 + 2y = -3(-3y + 6) + -1y Combine like terms: -18 + -3 = -21 -21 + 2y = -3(-3y + 6) + -1y Reorder the terms: -21 + 2y = -3(6 + -3y) + -1y -21 + 2y = (6 * -3 + -3y * -3) + -1y -21 + 2y = (-18 + 9y) + -1y Combine like terms: 9y + -1y = 8y -21 + 2y = -18 + 8y Solving -21 + 2y = -18 + 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. -21 + 2y + -8y = -18 + 8y + -8y Combine like terms: 2y + -8y = -6y -21 + -6y = -18 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + -6y = -18 + 0 -21 + -6y = -18 Add '21' to each side of the equation. -21 + 21 + -6y = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -6y = -18 + 21 -6y = -18 + 21 Combine like terms: -18 + 21 = 3 -6y = 3 Divide each side by '-6'. y = -0.5 Simplifying y = -0.5
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