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Simplifying 6y + -3(y + 5) = 3 + -1(x + -2) Reorder the terms: 6y + -3(5 + y) = 3 + -1(x + -2) 6y + (5 * -3 + y * -3) = 3 + -1(x + -2) 6y + (-15 + -3y) = 3 + -1(x + -2) Reorder the terms: -15 + 6y + -3y = 3 + -1(x + -2) Combine like terms: 6y + -3y = 3y -15 + 3y = 3 + -1(x + -2) Reorder the terms: -15 + 3y = 3 + -1(-2 + x) -15 + 3y = 3 + (-2 * -1 + x * -1) -15 + 3y = 3 + (2 + -1x) Combine like terms: 3 + 2 = 5 -15 + 3y = 5 + -1x Solving -15 + 3y = 5 + -1x 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 = 5 + 15 + -1x Combine like terms: -15 + 15 = 0 0 + 3y = 5 + 15 + -1x 3y = 5 + 15 + -1x Combine like terms: 5 + 15 = 20 3y = 20 + -1x Divide each side by '3'. y = 6.666666667 + -0.3333333333x Simplifying y = 6.666666667 + -0.3333333333x
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