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Simplifying -3(y + 5) = 9y + -4 + 2(3y + 2) Reorder the terms: -3(5 + y) = 9y + -4 + 2(3y + 2) (5 * -3 + y * -3) = 9y + -4 + 2(3y + 2) (-15 + -3y) = 9y + -4 + 2(3y + 2) Reorder the terms: -15 + -3y = 9y + -4 + 2(2 + 3y) -15 + -3y = 9y + -4 + (2 * 2 + 3y * 2) -15 + -3y = 9y + -4 + (4 + 6y) Reorder the terms: -15 + -3y = -4 + 4 + 9y + 6y Combine like terms: -4 + 4 = 0 -15 + -3y = 0 + 9y + 6y -15 + -3y = 9y + 6y Combine like terms: 9y + 6y = 15y -15 + -3y = 15y Solving -15 + -3y = 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -15 + -3y + -15y = 15y + -15y Combine like terms: -3y + -15y = -18y -15 + -18y = 15y + -15y Combine like terms: 15y + -15y = 0 -15 + -18y = 0 Add '15' to each side of the equation. -15 + 15 + -18y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -18y = 0 + 15 -18y = 0 + 15 Combine like terms: 0 + 15 = 15 -18y = 15 Divide each side by '-18'. y = -0.8333333333 Simplifying y = -0.8333333333
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