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Simplifying -3(y + 5) = 12 + 2(y + -3) Reorder the terms: -3(5 + y) = 12 + 2(y + -3) (5 * -3 + y * -3) = 12 + 2(y + -3) (-15 + -3y) = 12 + 2(y + -3) Reorder the terms: -15 + -3y = 12 + 2(-3 + y) -15 + -3y = 12 + (-3 * 2 + y * 2) -15 + -3y = 12 + (-6 + 2y) Combine like terms: 12 + -6 = 6 -15 + -3y = 6 + 2y Solving -15 + -3y = 6 + 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. -15 + -3y + -2y = 6 + 2y + -2y Combine like terms: -3y + -2y = -5y -15 + -5y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + -5y = 6 + 0 -15 + -5y = 6 Add '15' to each side of the equation. -15 + 15 + -5y = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -5y = 6 + 15 -5y = 6 + 15 Combine like terms: 6 + 15 = 21 -5y = 21 Divide each side by '-5'. y = -4.2 Simplifying y = -4.2
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