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Simplifying 3y + -19 = 8(y + 2) Reorder the terms: -19 + 3y = 8(y + 2) Reorder the terms: -19 + 3y = 8(2 + y) -19 + 3y = (2 * 8 + y * 8) -19 + 3y = (16 + 8y) Solving -19 + 3y = 16 + 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. -19 + 3y + -8y = 16 + 8y + -8y Combine like terms: 3y + -8y = -5y -19 + -5y = 16 + 8y + -8y Combine like terms: 8y + -8y = 0 -19 + -5y = 16 + 0 -19 + -5y = 16 Add '19' to each side of the equation. -19 + 19 + -5y = 16 + 19 Combine like terms: -19 + 19 = 0 0 + -5y = 16 + 19 -5y = 16 + 19 Combine like terms: 16 + 19 = 35 -5y = 35 Divide each side by '-5'. y = -7 Simplifying y = -7
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