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Simplifying 3(y + -2) + -8 = 68 + -2(2y + -1) Reorder the terms: 3(-2 + y) + -8 = 68 + -2(2y + -1) (-2 * 3 + y * 3) + -8 = 68 + -2(2y + -1) (-6 + 3y) + -8 = 68 + -2(2y + -1) Reorder the terms: -6 + -8 + 3y = 68 + -2(2y + -1) Combine like terms: -6 + -8 = -14 -14 + 3y = 68 + -2(2y + -1) Reorder the terms: -14 + 3y = 68 + -2(-1 + 2y) -14 + 3y = 68 + (-1 * -2 + 2y * -2) -14 + 3y = 68 + (2 + -4y) Combine like terms: 68 + 2 = 70 -14 + 3y = 70 + -4y Solving -14 + 3y = 70 + -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. -14 + 3y + 4y = 70 + -4y + 4y Combine like terms: 3y + 4y = 7y -14 + 7y = 70 + -4y + 4y Combine like terms: -4y + 4y = 0 -14 + 7y = 70 + 0 -14 + 7y = 70 Add '14' to each side of the equation. -14 + 14 + 7y = 70 + 14 Combine like terms: -14 + 14 = 0 0 + 7y = 70 + 14 7y = 70 + 14 Combine like terms: 70 + 14 = 84 7y = 84 Divide each side by '7'. y = 12 Simplifying y = 12
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