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Simplifying 5y + 3(y + -7) = 6(y + 1) + -2 Reorder the terms: 5y + 3(-7 + y) = 6(y + 1) + -2 5y + (-7 * 3 + y * 3) = 6(y + 1) + -2 5y + (-21 + 3y) = 6(y + 1) + -2 Reorder the terms: -21 + 5y + 3y = 6(y + 1) + -2 Combine like terms: 5y + 3y = 8y -21 + 8y = 6(y + 1) + -2 Reorder the terms: -21 + 8y = 6(1 + y) + -2 -21 + 8y = (1 * 6 + y * 6) + -2 -21 + 8y = (6 + 6y) + -2 Reorder the terms: -21 + 8y = 6 + -2 + 6y Combine like terms: 6 + -2 = 4 -21 + 8y = 4 + 6y Solving -21 + 8y = 4 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -21 + 8y + -6y = 4 + 6y + -6y Combine like terms: 8y + -6y = 2y -21 + 2y = 4 + 6y + -6y Combine like terms: 6y + -6y = 0 -21 + 2y = 4 + 0 -21 + 2y = 4 Add '21' to each side of the equation. -21 + 21 + 2y = 4 + 21 Combine like terms: -21 + 21 = 0 0 + 2y = 4 + 21 2y = 4 + 21 Combine like terms: 4 + 21 = 25 2y = 25 Divide each side by '2'. y = 12.5 Simplifying y = 12.5
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