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Simplifying -5(3y + 3) = 2(6y + 5) Reorder the terms: -5(3 + 3y) = 2(6y + 5) (3 * -5 + 3y * -5) = 2(6y + 5) (-15 + -15y) = 2(6y + 5) Reorder the terms: -15 + -15y = 2(5 + 6y) -15 + -15y = (5 * 2 + 6y * 2) -15 + -15y = (10 + 12y) Solving -15 + -15y = 10 + 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. -15 + -15y + -12y = 10 + 12y + -12y Combine like terms: -15y + -12y = -27y -15 + -27y = 10 + 12y + -12y Combine like terms: 12y + -12y = 0 -15 + -27y = 10 + 0 -15 + -27y = 10 Add '15' to each side of the equation. -15 + 15 + -27y = 10 + 15 Combine like terms: -15 + 15 = 0 0 + -27y = 10 + 15 -27y = 10 + 15 Combine like terms: 10 + 15 = 25 -27y = 25 Divide each side by '-27'. y = -0.9259259259 Simplifying y = -0.9259259259
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