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Simplifying -3(y + -5) = 2(3x + -6) Reorder the terms: -3(-5 + y) = 2(3x + -6) (-5 * -3 + y * -3) = 2(3x + -6) (15 + -3y) = 2(3x + -6) Reorder the terms: 15 + -3y = 2(-6 + 3x) 15 + -3y = (-6 * 2 + 3x * 2) 15 + -3y = (-12 + 6x) Solving 15 + -3y = -12 + 6x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -3y = -12 + -15 + 6x Combine like terms: 15 + -15 = 0 0 + -3y = -12 + -15 + 6x -3y = -12 + -15 + 6x Combine like terms: -12 + -15 = -27 -3y = -27 + 6x Divide each side by '-3'. y = 9 + -2x Simplifying y = 9 + -2x
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