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Simplifying 3(y + -2) = 6(7 + -1) + -3y Reorder the terms: 3(-2 + y) = 6(7 + -1) + -3y (-2 * 3 + y * 3) = 6(7 + -1) + -3y (-6 + 3y) = 6(7 + -1) + -3y Combine like terms: 7 + -1 = 6 -6 + 3y = 6(6) + -3y Multiply 6 * 6 -6 + 3y = 36 + -3y Solving -6 + 3y = 36 + -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. -6 + 3y + 3y = 36 + -3y + 3y Combine like terms: 3y + 3y = 6y -6 + 6y = 36 + -3y + 3y Combine like terms: -3y + 3y = 0 -6 + 6y = 36 + 0 -6 + 6y = 36 Add '6' to each side of the equation. -6 + 6 + 6y = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = 36 + 6 6y = 36 + 6 Combine like terms: 36 + 6 = 42 6y = 42 Divide each side by '6'. y = 7 Simplifying y = 7
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