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Simplifying -3y + 5 = -2(3y + 8) Reorder the terms: 5 + -3y = -2(3y + 8) Reorder the terms: 5 + -3y = -2(8 + 3y) 5 + -3y = (8 * -2 + 3y * -2) 5 + -3y = (-16 + -6y) Solving 5 + -3y = -16 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 5 + -3y + 6y = -16 + -6y + 6y Combine like terms: -3y + 6y = 3y 5 + 3y = -16 + -6y + 6y Combine like terms: -6y + 6y = 0 5 + 3y = -16 + 0 5 + 3y = -16 Add '-5' to each side of the equation. 5 + -5 + 3y = -16 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = -16 + -5 3y = -16 + -5 Combine like terms: -16 + -5 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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