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Simplifying 7(y + -3) = 19 + -1y Reorder the terms: 7(-3 + y) = 19 + -1y (-3 * 7 + y * 7) = 19 + -1y (-21 + 7y) = 19 + -1y Solving -21 + 7y = 19 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -21 + 7y + y = 19 + -1y + y Combine like terms: 7y + y = 8y -21 + 8y = 19 + -1y + y Combine like terms: -1y + y = 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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