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Simplifying -3(2y + -5) + y = 3(y + 1) Reorder the terms: -3(-5 + 2y) + y = 3(y + 1) (-5 * -3 + 2y * -3) + y = 3(y + 1) (15 + -6y) + y = 3(y + 1) Combine like terms: -6y + y = -5y 15 + -5y = 3(y + 1) Reorder the terms: 15 + -5y = 3(1 + y) 15 + -5y = (1 * 3 + y * 3) 15 + -5y = (3 + 3y) Solving 15 + -5y = 3 + 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. 15 + -5y + -3y = 3 + 3y + -3y Combine like terms: -5y + -3y = -8y 15 + -8y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 15 + -8y = 3 + 0 15 + -8y = 3 Add '-15' to each side of the equation. 15 + -15 + -8y = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -8y = 3 + -15 -8y = 3 + -15 Combine like terms: 3 + -15 = -12 -8y = -12 Divide each side by '-8'. y = 1.5 Simplifying y = 1.5
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