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Simplifying 3y + -2(2y + -7) = 2(3 + y) + -4 Reorder the terms: 3y + -2(-7 + 2y) = 2(3 + y) + -4 3y + (-7 * -2 + 2y * -2) = 2(3 + y) + -4 3y + (14 + -4y) = 2(3 + y) + -4 Reorder the terms: 14 + 3y + -4y = 2(3 + y) + -4 Combine like terms: 3y + -4y = -1y 14 + -1y = 2(3 + y) + -4 14 + -1y = (3 * 2 + y * 2) + -4 14 + -1y = (6 + 2y) + -4 Reorder the terms: 14 + -1y = 6 + -4 + 2y Combine like terms: 6 + -4 = 2 14 + -1y = 2 + 2y Solving 14 + -1y = 2 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 14 + -1y + -2y = 2 + 2y + -2y Combine like terms: -1y + -2y = -3y 14 + -3y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 14 + -3y = 2 + 0 14 + -3y = 2 Add '-14' to each side of the equation. 14 + -14 + -3y = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -3y = 2 + -14 -3y = 2 + -14 Combine like terms: 2 + -14 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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