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Simplifying 3y + -8 = 5(y + 4) Reorder the terms: -8 + 3y = 5(y + 4) Reorder the terms: -8 + 3y = 5(4 + y) -8 + 3y = (4 * 5 + y * 5) -8 + 3y = (20 + 5y) Solving -8 + 3y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -8 + 3y + -5y = 20 + 5y + -5y Combine like terms: 3y + -5y = -2y -8 + -2y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 -8 + -2y = 20 + 0 -8 + -2y = 20 Add '8' to each side of the equation. -8 + 8 + -2y = 20 + 8 Combine like terms: -8 + 8 = 0 0 + -2y = 20 + 8 -2y = 20 + 8 Combine like terms: 20 + 8 = 28 -2y = 28 Divide each side by '-2'. y = -14 Simplifying y = -14
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