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Simplifying 3y + -2(2y + -7) = (3 + y) + -4 Reorder the terms: 3y + -2(-7 + 2y) = (3 + y) + -4 3y + (-7 * -2 + 2y * -2) = (3 + y) + -4 3y + (14 + -4y) = (3 + y) + -4 Reorder the terms: 14 + 3y + -4y = (3 + y) + -4 Combine like terms: 3y + -4y = -1y 14 + -1y = (3 + y) + -4 Remove parenthesis around (3 + y) 14 + -1y = 3 + y + -4 Reorder the terms: 14 + -1y = 3 + -4 + y Combine like terms: 3 + -4 = -1 14 + -1y = -1 + y Solving 14 + -1y = -1 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 14 + -1y + -1y = -1 + y + -1y Combine like terms: -1y + -1y = -2y 14 + -2y = -1 + y + -1y Combine like terms: y + -1y = 0 14 + -2y = -1 + 0 14 + -2y = -1 Add '-14' to each side of the equation. 14 + -14 + -2y = -1 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = -1 + -14 -2y = -1 + -14 Combine like terms: -1 + -14 = -15 -2y = -15 Divide each side by '-2'. y = 7.5 Simplifying y = 7.5
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