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Simplifying 3(y + -2) + 2y + 5 = 9y + -4 + 3y + 1 Reorder the terms: 3(-2 + y) + 2y + 5 = 9y + -4 + 3y + 1 (-2 * 3 + y * 3) + 2y + 5 = 9y + -4 + 3y + 1 (-6 + 3y) + 2y + 5 = 9y + -4 + 3y + 1 Reorder the terms: -6 + 5 + 3y + 2y = 9y + -4 + 3y + 1 Combine like terms: -6 + 5 = -1 -1 + 3y + 2y = 9y + -4 + 3y + 1 Combine like terms: 3y + 2y = 5y -1 + 5y = 9y + -4 + 3y + 1 Reorder the terms: -1 + 5y = -4 + 1 + 9y + 3y Combine like terms: -4 + 1 = -3 -1 + 5y = -3 + 9y + 3y Combine like terms: 9y + 3y = 12y -1 + 5y = -3 + 12y Solving -1 + 5y = -3 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -1 + 5y + -12y = -3 + 12y + -12y Combine like terms: 5y + -12y = -7y -1 + -7y = -3 + 12y + -12y Combine like terms: 12y + -12y = 0 -1 + -7y = -3 + 0 -1 + -7y = -3 Add '1' to each side of the equation. -1 + 1 + -7y = -3 + 1 Combine like terms: -1 + 1 = 0 0 + -7y = -3 + 1 -7y = -3 + 1 Combine like terms: -3 + 1 = -2 -7y = -2 Divide each side by '-7'. y = 0.2857142857 Simplifying y = 0.2857142857
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