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Simplifying -3(y + -5) = 2(y + -3) Reorder the terms: -3(-5 + y) = 2(y + -3) (-5 * -3 + y * -3) = 2(y + -3) (15 + -3y) = 2(y + -3) Reorder the terms: 15 + -3y = 2(-3 + y) 15 + -3y = (-3 * 2 + y * 2) 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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