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Simplifying 5(y + -3) = 2(y + -15) Reorder the terms: 5(-3 + y) = 2(y + -15) (-3 * 5 + y * 5) = 2(y + -15) (-15 + 5y) = 2(y + -15) Reorder the terms: -15 + 5y = 2(-15 + y) -15 + 5y = (-15 * 2 + y * 2) -15 + 5y = (-30 + 2y) Solving -15 + 5y = -30 + 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 + 5y + -2y = -30 + 2y + -2y Combine like terms: 5y + -2y = 3y -15 + 3y = -30 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 3y = -30 + 0 -15 + 3y = -30 Add '15' to each side of the equation. -15 + 15 + 3y = -30 + 15 Combine like terms: -15 + 15 = 0 0 + 3y = -30 + 15 3y = -30 + 15 Combine like terms: -30 + 15 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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