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Simplifying 1 + 3(2y + -3) = -2(6y + -2) + 9y Reorder the terms: 1 + 3(-3 + 2y) = -2(6y + -2) + 9y 1 + (-3 * 3 + 2y * 3) = -2(6y + -2) + 9y 1 + (-9 + 6y) = -2(6y + -2) + 9y Combine like terms: 1 + -9 = -8 -8 + 6y = -2(6y + -2) + 9y Reorder the terms: -8 + 6y = -2(-2 + 6y) + 9y -8 + 6y = (-2 * -2 + 6y * -2) + 9y -8 + 6y = (4 + -12y) + 9y Combine like terms: -12y + 9y = -3y -8 + 6y = 4 + -3y Solving -8 + 6y = 4 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -8 + 6y + 3y = 4 + -3y + 3y Combine like terms: 6y + 3y = 9y -8 + 9y = 4 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 9y = 4 + 0 -8 + 9y = 4 Add '8' to each side of the equation. -8 + 8 + 9y = 4 + 8 Combine like terms: -8 + 8 = 0 0 + 9y = 4 + 8 9y = 4 + 8 Combine like terms: 4 + 8 = 12 9y = 12 Divide each side by '9'. y = 1.333333333 Simplifying y = 1.333333333
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