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Simplifying 2(3y + -4) = 340 + -3(y + -4) Reorder the terms: 2(-4 + 3y) = 340 + -3(y + -4) (-4 * 2 + 3y * 2) = 340 + -3(y + -4) (-8 + 6y) = 340 + -3(y + -4) Reorder the terms: -8 + 6y = 340 + -3(-4 + y) -8 + 6y = 340 + (-4 * -3 + y * -3) -8 + 6y = 340 + (12 + -3y) Combine like terms: 340 + 12 = 352 -8 + 6y = 352 + -3y Solving -8 + 6y = 352 + -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. -8 + 6y + 3y = 352 + -3y + 3y Combine like terms: 6y + 3y = 9y -8 + 9y = 352 + -3y + 3y Combine like terms: -3y + 3y = 0 -8 + 9y = 352 + 0 -8 + 9y = 352 Add '8' to each side of the equation. -8 + 8 + 9y = 352 + 8 Combine like terms: -8 + 8 = 0 0 + 9y = 352 + 8 9y = 352 + 8 Combine like terms: 352 + 8 = 360 9y = 360 Divide each side by '9'. y = 40 Simplifying y = 40
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