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Simplifying -14(y + 3) + 6(3y + -7) = 3(y + -3) + 12 Reorder the terms: -14(3 + y) + 6(3y + -7) = 3(y + -3) + 12 (3 * -14 + y * -14) + 6(3y + -7) = 3(y + -3) + 12 (-42 + -14y) + 6(3y + -7) = 3(y + -3) + 12 Reorder the terms: -42 + -14y + 6(-7 + 3y) = 3(y + -3) + 12 -42 + -14y + (-7 * 6 + 3y * 6) = 3(y + -3) + 12 -42 + -14y + (-42 + 18y) = 3(y + -3) + 12 Reorder the terms: -42 + -42 + -14y + 18y = 3(y + -3) + 12 Combine like terms: -42 + -42 = -84 -84 + -14y + 18y = 3(y + -3) + 12 Combine like terms: -14y + 18y = 4y -84 + 4y = 3(y + -3) + 12 Reorder the terms: -84 + 4y = 3(-3 + y) + 12 -84 + 4y = (-3 * 3 + y * 3) + 12 -84 + 4y = (-9 + 3y) + 12 Reorder the terms: -84 + 4y = -9 + 12 + 3y Combine like terms: -9 + 12 = 3 -84 + 4y = 3 + 3y Solving -84 + 4y = 3 + 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. -84 + 4y + -3y = 3 + 3y + -3y Combine like terms: 4y + -3y = 1y -84 + 1y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -84 + 1y = 3 + 0 -84 + 1y = 3 Add '84' to each side of the equation. -84 + 84 + 1y = 3 + 84 Combine like terms: -84 + 84 = 0 0 + 1y = 3 + 84 1y = 3 + 84 Combine like terms: 3 + 84 = 87 1y = 87 Divide each side by '1'. y = 87 Simplifying y = 87
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