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Simplifying -3(3y + -4) + 5y = 2(y + 5) Reorder the terms: -3(-4 + 3y) + 5y = 2(y + 5) (-4 * -3 + 3y * -3) + 5y = 2(y + 5) (12 + -9y) + 5y = 2(y + 5) Combine like terms: -9y + 5y = -4y 12 + -4y = 2(y + 5) Reorder the terms: 12 + -4y = 2(5 + y) 12 + -4y = (5 * 2 + y * 2) 12 + -4y = (10 + 2y) Solving 12 + -4y = 10 + 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. 12 + -4y + -2y = 10 + 2y + -2y Combine like terms: -4y + -2y = -6y 12 + -6y = 10 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -6y = 10 + 0 12 + -6y = 10 Add '-12' to each side of the equation. 12 + -12 + -6y = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = 10 + -12 -6y = 10 + -12 Combine like terms: 10 + -12 = -2 -6y = -2 Divide each side by '-6'. y = 0.3333333333 Simplifying y = 0.3333333333
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