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Simplifying -2(y + -5) = 3(2x + -6) Reorder the terms: -2(-5 + y) = 3(2x + -6) (-5 * -2 + y * -2) = 3(2x + -6) (10 + -2y) = 3(2x + -6) Reorder the terms: 10 + -2y = 3(-6 + 2x) 10 + -2y = (-6 * 3 + 2x * 3) 10 + -2y = (-18 + 6x) Solving 10 + -2y = -18 + 6x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2y = -18 + -10 + 6x Combine like terms: 10 + -10 = 0 0 + -2y = -18 + -10 + 6x -2y = -18 + -10 + 6x Combine like terms: -18 + -10 = -28 -2y = -28 + 6x Divide each side by '-2'. y = 14 + -3x Simplifying y = 14 + -3x
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