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Simplifying 5(y + 2) = -2(4y + -3) + y Reorder the terms: 5(2 + y) = -2(4y + -3) + y (2 * 5 + y * 5) = -2(4y + -3) + y (10 + 5y) = -2(4y + -3) + y Reorder the terms: 10 + 5y = -2(-3 + 4y) + y 10 + 5y = (-3 * -2 + 4y * -2) + y 10 + 5y = (6 + -8y) + y Combine like terms: -8y + y = -7y 10 + 5y = 6 + -7y Solving 10 + 5y = 6 + -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. 10 + 5y + 7y = 6 + -7y + 7y Combine like terms: 5y + 7y = 12y 10 + 12y = 6 + -7y + 7y Combine like terms: -7y + 7y = 0 10 + 12y = 6 + 0 10 + 12y = 6 Add '-10' to each side of the equation. 10 + -10 + 12y = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 12y = 6 + -10 12y = 6 + -10 Combine like terms: 6 + -10 = -4 12y = -4 Divide each side by '12'. y = -0.3333333333 Simplifying y = -0.3333333333
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