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Simplifying -3(3y + -8) + 7y = 2(y + 7) Reorder the terms: -3(-8 + 3y) + 7y = 2(y + 7) (-8 * -3 + 3y * -3) + 7y = 2(y + 7) (24 + -9y) + 7y = 2(y + 7) Combine like terms: -9y + 7y = -2y 24 + -2y = 2(y + 7) Reorder the terms: 24 + -2y = 2(7 + y) 24 + -2y = (7 * 2 + y * 2) 24 + -2y = (14 + 2y) Solving 24 + -2y = 14 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 24 + -2y + -2y = 14 + 2y + -2y Combine like terms: -2y + -2y = -4y 24 + -4y = 14 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + -4y = 14 + 0 24 + -4y = 14 Add '-24' to each side of the equation. 24 + -24 + -4y = 14 + -24 Combine like terms: 24 + -24 = 0 0 + -4y = 14 + -24 -4y = 14 + -24 Combine like terms: 14 + -24 = -10 -4y = -10 Divide each side by '-4'. y = 2.5 Simplifying y = 2.5
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