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Simplifying 3y + -2 = 8(y + 1) Reorder the terms: -2 + 3y = 8(y + 1) Reorder the terms: -2 + 3y = 8(1 + y) -2 + 3y = (1 * 8 + y * 8) -2 + 3y = (8 + 8y) Solving -2 + 3y = 8 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -2 + 3y + -8y = 8 + 8y + -8y Combine like terms: 3y + -8y = -5y -2 + -5y = 8 + 8y + -8y Combine like terms: 8y + -8y = 0 -2 + -5y = 8 + 0 -2 + -5y = 8 Add '2' to each side of the equation. -2 + 2 + -5y = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -5y = 8 + 2 -5y = 8 + 2 Combine like terms: 8 + 2 = 10 -5y = 10 Divide each side by '-5'. y = -2 Simplifying y = -2
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