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Simplifying 6(y + -5) = 2(2x + -7) Reorder the terms: 6(-5 + y) = 2(2x + -7) (-5 * 6 + y * 6) = 2(2x + -7) (-30 + 6y) = 2(2x + -7) Reorder the terms: -30 + 6y = 2(-7 + 2x) -30 + 6y = (-7 * 2 + 2x * 2) -30 + 6y = (-14 + 4x) Solving -30 + 6y = -14 + 4x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 6y = -14 + 30 + 4x Combine like terms: -30 + 30 = 0 0 + 6y = -14 + 30 + 4x 6y = -14 + 30 + 4x Combine like terms: -14 + 30 = 16 6y = 16 + 4x Divide each side by '6'. y = 2.666666667 + 0.6666666667x Simplifying y = 2.666666667 + 0.6666666667x
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