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Simplifying -3(y + -1) + 8(y + -3) = 6y + 7 + -5y Reorder the terms: -3(-1 + y) + 8(y + -3) = 6y + 7 + -5y (-1 * -3 + y * -3) + 8(y + -3) = 6y + 7 + -5y (3 + -3y) + 8(y + -3) = 6y + 7 + -5y Reorder the terms: 3 + -3y + 8(-3 + y) = 6y + 7 + -5y 3 + -3y + (-3 * 8 + y * 8) = 6y + 7 + -5y 3 + -3y + (-24 + 8y) = 6y + 7 + -5y Reorder the terms: 3 + -24 + -3y + 8y = 6y + 7 + -5y Combine like terms: 3 + -24 = -21 -21 + -3y + 8y = 6y + 7 + -5y Combine like terms: -3y + 8y = 5y -21 + 5y = 6y + 7 + -5y Reorder the terms: -21 + 5y = 7 + 6y + -5y Combine like terms: 6y + -5y = 1y -21 + 5y = 7 + 1y Solving -21 + 5y = 7 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -21 + 5y + -1y = 7 + 1y + -1y Combine like terms: 5y + -1y = 4y -21 + 4y = 7 + 1y + -1y Combine like terms: 1y + -1y = 0 -21 + 4y = 7 + 0 -21 + 4y = 7 Add '21' to each side of the equation. -21 + 21 + 4y = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 4y = 7 + 21 4y = 7 + 21 Combine like terms: 7 + 21 = 28 4y = 28 Divide each side by '4'. y = 7 Simplifying y = 7
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