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Simplifying 3(y + -2) * 5 = 1 + -3y Reorder the terms: 3(-2 + y) * 5 = 1 + -3y Reorder the terms for easier multiplication: 3 * 5(-2 + y) = 1 + -3y Multiply 3 * 5 15(-2 + y) = 1 + -3y (-2 * 15 + y * 15) = 1 + -3y (-30 + 15y) = 1 + -3y Solving -30 + 15y = 1 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -30 + 15y + 3y = 1 + -3y + 3y Combine like terms: 15y + 3y = 18y -30 + 18y = 1 + -3y + 3y Combine like terms: -3y + 3y = 0 -30 + 18y = 1 + 0 -30 + 18y = 1 Add '30' to each side of the equation. -30 + 30 + 18y = 1 + 30 Combine like terms: -30 + 30 = 0 0 + 18y = 1 + 30 18y = 1 + 30 Combine like terms: 1 + 30 = 31 18y = 31 Divide each side by '18'. y = 1.722222222 Simplifying y = 1.722222222
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