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Simplifying -3(y + -4) = 5(y + 3) Reorder the terms: -3(-4 + y) = 5(y + 3) (-4 * -3 + y * -3) = 5(y + 3) (12 + -3y) = 5(y + 3) Reorder the terms: 12 + -3y = 5(3 + y) 12 + -3y = (3 * 5 + y * 5) 12 + -3y = (15 + 5y) Solving 12 + -3y = 15 + 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. 12 + -3y + -5y = 15 + 5y + -5y Combine like terms: -3y + -5y = -8y 12 + -8y = 15 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + -8y = 15 + 0 12 + -8y = 15 Add '-12' to each side of the equation. 12 + -12 + -8y = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = 15 + -12 -8y = 15 + -12 Combine like terms: 15 + -12 = 3 -8y = 3 Divide each side by '-8'. y = -0.375 Simplifying y = -0.375
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