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Simplifying 2(3y + -5) = -3(3y + 8) Reorder the terms: 2(-5 + 3y) = -3(3y + 8) (-5 * 2 + 3y * 2) = -3(3y + 8) (-10 + 6y) = -3(3y + 8) Reorder the terms: -10 + 6y = -3(8 + 3y) -10 + 6y = (8 * -3 + 3y * -3) -10 + 6y = (-24 + -9y) Solving -10 + 6y = -24 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -10 + 6y + 9y = -24 + -9y + 9y Combine like terms: 6y + 9y = 15y -10 + 15y = -24 + -9y + 9y Combine like terms: -9y + 9y = 0 -10 + 15y = -24 + 0 -10 + 15y = -24 Add '10' to each side of the equation. -10 + 10 + 15y = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 15y = -24 + 10 15y = -24 + 10 Combine like terms: -24 + 10 = -14 15y = -14 Divide each side by '15'. y = -0.9333333333 Simplifying y = -0.9333333333
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