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Simplifying -2(y + 1) = 3y + -5 + 3(3y + 3) Reorder the terms: -2(1 + y) = 3y + -5 + 3(3y + 3) (1 * -2 + y * -2) = 3y + -5 + 3(3y + 3) (-2 + -2y) = 3y + -5 + 3(3y + 3) Reorder the terms: -2 + -2y = 3y + -5 + 3(3 + 3y) -2 + -2y = 3y + -5 + (3 * 3 + 3y * 3) -2 + -2y = 3y + -5 + (9 + 9y) Reorder the terms: -2 + -2y = -5 + 9 + 3y + 9y Combine like terms: -5 + 9 = 4 -2 + -2y = 4 + 3y + 9y Combine like terms: 3y + 9y = 12y -2 + -2y = 4 + 12y Solving -2 + -2y = 4 + 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. -2 + -2y + -12y = 4 + 12y + -12y Combine like terms: -2y + -12y = -14y -2 + -14y = 4 + 12y + -12y Combine like terms: 12y + -12y = 0 -2 + -14y = 4 + 0 -2 + -14y = 4 Add '2' to each side of the equation. -2 + 2 + -14y = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -14y = 4 + 2 -14y = 4 + 2 Combine like terms: 4 + 2 = 6 -14y = 6 Divide each side by '-14'. y = -0.4285714286 Simplifying y = -0.4285714286
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