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Simplifying 5(3y + -3) = 8 + -2y Reorder the terms: 5(-3 + 3y) = 8 + -2y (-3 * 5 + 3y * 5) = 8 + -2y (-15 + 15y) = 8 + -2y Solving -15 + 15y = 8 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -15 + 15y + 2y = 8 + -2y + 2y Combine like terms: 15y + 2y = 17y -15 + 17y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 -15 + 17y = 8 + 0 -15 + 17y = 8 Add '15' to each side of the equation. -15 + 15 + 17y = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 17y = 8 + 15 17y = 8 + 15 Combine like terms: 8 + 15 = 23 17y = 23 Divide each side by '17'. y = 1.352941176 Simplifying y = 1.352941176
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