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Simplifying -5(y + 1) = 3y + -9 + 2(2y + 4) Reorder the terms: -5(1 + y) = 3y + -9 + 2(2y + 4) (1 * -5 + y * -5) = 3y + -9 + 2(2y + 4) (-5 + -5y) = 3y + -9 + 2(2y + 4) Reorder the terms: -5 + -5y = 3y + -9 + 2(4 + 2y) -5 + -5y = 3y + -9 + (4 * 2 + 2y * 2) -5 + -5y = 3y + -9 + (8 + 4y) Reorder the terms: -5 + -5y = -9 + 8 + 3y + 4y Combine like terms: -9 + 8 = -1 -5 + -5y = -1 + 3y + 4y Combine like terms: 3y + 4y = 7y -5 + -5y = -1 + 7y Solving -5 + -5y = -1 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -5 + -5y + -7y = -1 + 7y + -7y Combine like terms: -5y + -7y = -12y -5 + -12y = -1 + 7y + -7y Combine like terms: 7y + -7y = 0 -5 + -12y = -1 + 0 -5 + -12y = -1 Add '5' to each side of the equation. -5 + 5 + -12y = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -12y = -1 + 5 -12y = -1 + 5 Combine like terms: -1 + 5 = 4 -12y = 4 Divide each side by '-12'. y = -0.3333333333 Simplifying y = -0.3333333333
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