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Simplifying 5(y + -2) = 3(x + -4) + 2 Reorder the terms: 5(-2 + y) = 3(x + -4) + 2 (-2 * 5 + y * 5) = 3(x + -4) + 2 (-10 + 5y) = 3(x + -4) + 2 Reorder the terms: -10 + 5y = 3(-4 + x) + 2 -10 + 5y = (-4 * 3 + x * 3) + 2 -10 + 5y = (-12 + 3x) + 2 Reorder the terms: -10 + 5y = -12 + 2 + 3x Combine like terms: -12 + 2 = -10 -10 + 5y = -10 + 3x Add '10' to each side of the equation. -10 + 10 + 5y = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 0 + 5y = -10 + 10 + 3x 5y = -10 + 10 + 3x Combine like terms: -10 + 10 = 0 5y = 0 + 3x 5y = 3x Solving 5y = 3x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '5'. y = 0.6x Simplifying y = 0.6x
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