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Simplifying 3y + 4 = 5(y + -2) Reorder the terms: 4 + 3y = 5(y + -2) Reorder the terms: 4 + 3y = 5(-2 + y) 4 + 3y = (-2 * 5 + y * 5) 4 + 3y = (-10 + 5y) Solving 4 + 3y = -10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 4 + 3y + -5y = -10 + 5y + -5y Combine like terms: 3y + -5y = -2y 4 + -2y = -10 + 5y + -5y Combine like terms: 5y + -5y = 0 4 + -2y = -10 + 0 4 + -2y = -10 Add '-4' to each side of the equation. 4 + -4 + -2y = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2y = -10 + -4 -2y = -10 + -4 Combine like terms: -10 + -4 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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