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Simplifying 6 + 5(2y + -3) = -3(2y + -3) + 4y Reorder the terms: 6 + 5(-3 + 2y) = -3(2y + -3) + 4y 6 + (-3 * 5 + 2y * 5) = -3(2y + -3) + 4y 6 + (-15 + 10y) = -3(2y + -3) + 4y Combine like terms: 6 + -15 = -9 -9 + 10y = -3(2y + -3) + 4y Reorder the terms: -9 + 10y = -3(-3 + 2y) + 4y -9 + 10y = (-3 * -3 + 2y * -3) + 4y -9 + 10y = (9 + -6y) + 4y Combine like terms: -6y + 4y = -2y -9 + 10y = 9 + -2y Solving -9 + 10y = 9 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -9 + 10y + 2y = 9 + -2y + 2y Combine like terms: 10y + 2y = 12y -9 + 12y = 9 + -2y + 2y Combine like terms: -2y + 2y = 0 -9 + 12y = 9 + 0 -9 + 12y = 9 Add '9' to each side of the equation. -9 + 9 + 12y = 9 + 9 Combine like terms: -9 + 9 = 0 0 + 12y = 9 + 9 12y = 9 + 9 Combine like terms: 9 + 9 = 18 12y = 18 Divide each side by '12'. y = 1.5 Simplifying y = 1.5
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