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