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Simplifying 5y + 3(y + -7) = 3(y + 1) + -2 Reorder the terms: 5y + 3(-7 + y) = 3(y + 1) + -2 5y + (-7 * 3 + y * 3) = 3(y + 1) + -2 5y + (-21 + 3y) = 3(y + 1) + -2 Reorder the terms: -21 + 5y + 3y = 3(y + 1) + -2 Combine like terms: 5y + 3y = 8y -21 + 8y = 3(y + 1) + -2 Reorder the terms: -21 + 8y = 3(1 + y) + -2 -21 + 8y = (1 * 3 + y * 3) + -2 -21 + 8y = (3 + 3y) + -2 Reorder the terms: -21 + 8y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -21 + 8y = 1 + 3y Solving -21 + 8y = 1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -21 + 8y + -3y = 1 + 3y + -3y Combine like terms: 8y + -3y = 5y -21 + 5y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -21 + 5y = 1 + 0 -21 + 5y = 1 Add '21' to each side of the equation. -21 + 21 + 5y = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 5y = 1 + 21 5y = 1 + 21 Combine like terms: 1 + 21 = 22 5y = 22 Divide each side by '5'. y = 4.4 Simplifying y = 4.4
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