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Simplifying 2(y + 4) = 7(y + -1) Reorder the terms: 2(4 + y) = 7(y + -1) (4 * 2 + y * 2) = 7(y + -1) (8 + 2y) = 7(y + -1) Reorder the terms: 8 + 2y = 7(-1 + y) 8 + 2y = (-1 * 7 + y * 7) 8 + 2y = (-7 + 7y) Solving 8 + 2y = -7 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 8 + 2y + -7y = -7 + 7y + -7y Combine like terms: 2y + -7y = -5y 8 + -5y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 8 + -5y = -7 + 0 8 + -5y = -7 Add '-8' to each side of the equation. 8 + -8 + -5y = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -5y = -7 + -8 -5y = -7 + -8 Combine like terms: -7 + -8 = -15 -5y = -15 Divide each side by '-5'. y = 3 Simplifying y = 3
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