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Simplifying -2(y + 1) = 5y + -3 + 3(3y + 3) Reorder the terms: -2(1 + y) = 5y + -3 + 3(3y + 3) (1 * -2 + y * -2) = 5y + -3 + 3(3y + 3) (-2 + -2y) = 5y + -3 + 3(3y + 3) Reorder the terms: -2 + -2y = 5y + -3 + 3(3 + 3y) -2 + -2y = 5y + -3 + (3 * 3 + 3y * 3) -2 + -2y = 5y + -3 + (9 + 9y) Reorder the terms: -2 + -2y = -3 + 9 + 5y + 9y Combine like terms: -3 + 9 = 6 -2 + -2y = 6 + 5y + 9y Combine like terms: 5y + 9y = 14y -2 + -2y = 6 + 14y Solving -2 + -2y = 6 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -2 + -2y + -14y = 6 + 14y + -14y Combine like terms: -2y + -14y = -16y -2 + -16y = 6 + 14y + -14y Combine like terms: 14y + -14y = 0 -2 + -16y = 6 + 0 -2 + -16y = 6 Add '2' to each side of the equation. -2 + 2 + -16y = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -16y = 6 + 2 -16y = 6 + 2 Combine like terms: 6 + 2 = 8 -16y = 8 Divide each side by '-16'. y = -0.5 Simplifying y = -0.5
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