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Simplifying -4(y + 1) = 5y + -1 + 3(3y + 3) Reorder the terms: -4(1 + y) = 5y + -1 + 3(3y + 3) (1 * -4 + y * -4) = 5y + -1 + 3(3y + 3) (-4 + -4y) = 5y + -1 + 3(3y + 3) Reorder the terms: -4 + -4y = 5y + -1 + 3(3 + 3y) -4 + -4y = 5y + -1 + (3 * 3 + 3y * 3) -4 + -4y = 5y + -1 + (9 + 9y) Reorder the terms: -4 + -4y = -1 + 9 + 5y + 9y Combine like terms: -1 + 9 = 8 -4 + -4y = 8 + 5y + 9y Combine like terms: 5y + 9y = 14y -4 + -4y = 8 + 14y Solving -4 + -4y = 8 + 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. -4 + -4y + -14y = 8 + 14y + -14y Combine like terms: -4y + -14y = -18y -4 + -18y = 8 + 14y + -14y Combine like terms: 14y + -14y = 0 -4 + -18y = 8 + 0 -4 + -18y = 8 Add '4' to each side of the equation. -4 + 4 + -18y = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -18y = 8 + 4 -18y = 8 + 4 Combine like terms: 8 + 4 = 12 -18y = 12 Divide each side by '-18'. y = -0.6666666667 Simplifying y = -0.6666666667
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