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Simplifying 3(y + 1) = -6(2y + -3) + 5y Reorder the terms: 3(1 + y) = -6(2y + -3) + 5y (1 * 3 + y * 3) = -6(2y + -3) + 5y (3 + 3y) = -6(2y + -3) + 5y Reorder the terms: 3 + 3y = -6(-3 + 2y) + 5y 3 + 3y = (-3 * -6 + 2y * -6) + 5y 3 + 3y = (18 + -12y) + 5y Combine like terms: -12y + 5y = -7y 3 + 3y = 18 + -7y Solving 3 + 3y = 18 + -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 + 3y + 7y = 18 + -7y + 7y Combine like terms: 3y + 7y = 10y 3 + 10y = 18 + -7y + 7y Combine like terms: -7y + 7y = 0 3 + 10y = 18 + 0 3 + 10y = 18 Add '-3' to each side of the equation. 3 + -3 + 10y = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 10y = 18 + -3 10y = 18 + -3 Combine like terms: 18 + -3 = 15 10y = 15 Divide each side by '10'. y = 1.5 Simplifying y = 1.5
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