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Simplifying 3(y + 6) = -4(3y + -3) + 5y Reorder the terms: 3(6 + y) = -4(3y + -3) + 5y (6 * 3 + y * 3) = -4(3y + -3) + 5y (18 + 3y) = -4(3y + -3) + 5y Reorder the terms: 18 + 3y = -4(-3 + 3y) + 5y 18 + 3y = (-3 * -4 + 3y * -4) + 5y 18 + 3y = (12 + -12y) + 5y Combine like terms: -12y + 5y = -7y 18 + 3y = 12 + -7y Solving 18 + 3y = 12 + -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. 18 + 3y + 7y = 12 + -7y + 7y Combine like terms: 3y + 7y = 10y 18 + 10y = 12 + -7y + 7y Combine like terms: -7y + 7y = 0 18 + 10y = 12 + 0 18 + 10y = 12 Add '-18' to each side of the equation. 18 + -18 + 10y = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 10y = 12 + -18 10y = 12 + -18 Combine like terms: 12 + -18 = -6 10y = -6 Divide each side by '10'. y = -0.6 Simplifying y = -0.6
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