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Simplifying 6(3y + -2) + -9 = 2(2y + -2) + 24 Reorder the terms: 6(-2 + 3y) + -9 = 2(2y + -2) + 24 (-2 * 6 + 3y * 6) + -9 = 2(2y + -2) + 24 (-12 + 18y) + -9 = 2(2y + -2) + 24 Reorder the terms: -12 + -9 + 18y = 2(2y + -2) + 24 Combine like terms: -12 + -9 = -21 -21 + 18y = 2(2y + -2) + 24 Reorder the terms: -21 + 18y = 2(-2 + 2y) + 24 -21 + 18y = (-2 * 2 + 2y * 2) + 24 -21 + 18y = (-4 + 4y) + 24 Reorder the terms: -21 + 18y = -4 + 24 + 4y Combine like terms: -4 + 24 = 20 -21 + 18y = 20 + 4y Solving -21 + 18y = 20 + 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. -21 + 18y + -4y = 20 + 4y + -4y Combine like terms: 18y + -4y = 14y -21 + 14y = 20 + 4y + -4y Combine like terms: 4y + -4y = 0 -21 + 14y = 20 + 0 -21 + 14y = 20 Add '21' to each side of the equation. -21 + 21 + 14y = 20 + 21 Combine like terms: -21 + 21 = 0 0 + 14y = 20 + 21 14y = 20 + 21 Combine like terms: 20 + 21 = 41 14y = 41 Divide each side by '14'. y = 2.928571429 Simplifying y = 2.928571429
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