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Simplifying 8y + 3(y + -7) = 5(y + 1) + -3 Reorder the terms: 8y + 3(-7 + y) = 5(y + 1) + -3 8y + (-7 * 3 + y * 3) = 5(y + 1) + -3 8y + (-21 + 3y) = 5(y + 1) + -3 Reorder the terms: -21 + 8y + 3y = 5(y + 1) + -3 Combine like terms: 8y + 3y = 11y -21 + 11y = 5(y + 1) + -3 Reorder the terms: -21 + 11y = 5(1 + y) + -3 -21 + 11y = (1 * 5 + y * 5) + -3 -21 + 11y = (5 + 5y) + -3 Reorder the terms: -21 + 11y = 5 + -3 + 5y Combine like terms: 5 + -3 = 2 -21 + 11y = 2 + 5y Solving -21 + 11y = 2 + 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 + 11y + -5y = 2 + 5y + -5y Combine like terms: 11y + -5y = 6y -21 + 6y = 2 + 5y + -5y Combine like terms: 5y + -5y = 0 -21 + 6y = 2 + 0 -21 + 6y = 2 Add '21' to each side of the equation. -21 + 21 + 6y = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 6y = 2 + 21 6y = 2 + 21 Combine like terms: 2 + 21 = 23 6y = 23 Divide each side by '6'. y = 3.833333333 Simplifying y = 3.833333333
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