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Simplifying -3(y + 7) = 5y + 19 Reorder the terms: -3(7 + y) = 5y + 19 (7 * -3 + y * -3) = 5y + 19 (-21 + -3y) = 5y + 19 Reorder the terms: -21 + -3y = 19 + 5y Solving -21 + -3y = 19 + 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. -21 + -3y + -5y = 19 + 5y + -5y Combine like terms: -3y + -5y = -8y -21 + -8y = 19 + 5y + -5y Combine like terms: 5y + -5y = 0 -21 + -8y = 19 + 0 -21 + -8y = 19 Add '21' to each side of the equation. -21 + 21 + -8y = 19 + 21 Combine like terms: -21 + 21 = 0 0 + -8y = 19 + 21 -8y = 19 + 21 Combine like terms: 19 + 21 = 40 -8y = 40 Divide each side by '-8'. y = -5 Simplifying y = -5
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