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Simplifying y + -1(2y + -3) = 5(y + -2) + 2y Reorder the terms: y + -1(-3 + 2y) = 5(y + -2) + 2y y + (-3 * -1 + 2y * -1) = 5(y + -2) + 2y y + (3 + -2y) = 5(y + -2) + 2y Reorder the terms: 3 + y + -2y = 5(y + -2) + 2y Combine like terms: y + -2y = -1y 3 + -1y = 5(y + -2) + 2y Reorder the terms: 3 + -1y = 5(-2 + y) + 2y 3 + -1y = (-2 * 5 + y * 5) + 2y 3 + -1y = (-10 + 5y) + 2y Combine like terms: 5y + 2y = 7y 3 + -1y = -10 + 7y Solving 3 + -1y = -10 + 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. 3 + -1y + -7y = -10 + 7y + -7y Combine like terms: -1y + -7y = -8y 3 + -8y = -10 + 7y + -7y Combine like terms: 7y + -7y = 0 3 + -8y = -10 + 0 3 + -8y = -10 Add '-3' to each side of the equation. 3 + -3 + -8y = -10 + -3 Combine like terms: 3 + -3 = 0 0 + -8y = -10 + -3 -8y = -10 + -3 Combine like terms: -10 + -3 = -13 -8y = -13 Divide each side by '-8'. y = 1.625 Simplifying y = 1.625
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