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Simplifying 3 + -1(2y + -5) = -7(y + -2) Reorder the terms: 3 + -1(-5 + 2y) = -7(y + -2) 3 + (-5 * -1 + 2y * -1) = -7(y + -2) 3 + (5 + -2y) = -7(y + -2) Combine like terms: 3 + 5 = 8 8 + -2y = -7(y + -2) Reorder the terms: 8 + -2y = -7(-2 + y) 8 + -2y = (-2 * -7 + y * -7) 8 + -2y = (14 + -7y) Solving 8 + -2y = 14 + -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 = 14 + -7y + 7y Combine like terms: -2y + 7y = 5y 8 + 5y = 14 + -7y + 7y Combine like terms: -7y + 7y = 0 8 + 5y = 14 + 0 8 + 5y = 14 Add '-8' to each side of the equation. 8 + -8 + 5y = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 5y = 14 + -8 5y = 14 + -8 Combine like terms: 14 + -8 = 6 5y = 6 Divide each side by '5'. y = 1.2 Simplifying y = 1.2
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