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Simplifying -2(2y + 1) + 3(3y + -3) = 6(y + -4) + 8 Reorder the terms: -2(1 + 2y) + 3(3y + -3) = 6(y + -4) + 8 (1 * -2 + 2y * -2) + 3(3y + -3) = 6(y + -4) + 8 (-2 + -4y) + 3(3y + -3) = 6(y + -4) + 8 Reorder the terms: -2 + -4y + 3(-3 + 3y) = 6(y + -4) + 8 -2 + -4y + (-3 * 3 + 3y * 3) = 6(y + -4) + 8 -2 + -4y + (-9 + 9y) = 6(y + -4) + 8 Reorder the terms: -2 + -9 + -4y + 9y = 6(y + -4) + 8 Combine like terms: -2 + -9 = -11 -11 + -4y + 9y = 6(y + -4) + 8 Combine like terms: -4y + 9y = 5y -11 + 5y = 6(y + -4) + 8 Reorder the terms: -11 + 5y = 6(-4 + y) + 8 -11 + 5y = (-4 * 6 + y * 6) + 8 -11 + 5y = (-24 + 6y) + 8 Reorder the terms: -11 + 5y = -24 + 8 + 6y Combine like terms: -24 + 8 = -16 -11 + 5y = -16 + 6y Solving -11 + 5y = -16 + 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. -11 + 5y + -6y = -16 + 6y + -6y Combine like terms: 5y + -6y = -1y -11 + -1y = -16 + 6y + -6y Combine like terms: 6y + -6y = 0 -11 + -1y = -16 + 0 -11 + -1y = -16 Add '11' to each side of the equation. -11 + 11 + -1y = -16 + 11 Combine like terms: -11 + 11 = 0 0 + -1y = -16 + 11 -1y = -16 + 11 Combine like terms: -16 + 11 = -5 -1y = -5 Divide each side by '-1'. y = 5 Simplifying y = 5
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