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Simplifying 2 + -3(y + -4) = 5(y + -3x) Reorder the terms: 2 + -3(-4 + y) = 5(y + -3x) 2 + (-4 * -3 + y * -3) = 5(y + -3x) 2 + (12 + -3y) = 5(y + -3x) Combine like terms: 2 + 12 = 14 14 + -3y = 5(y + -3x) Reorder the terms: 14 + -3y = 5(-3x + y) 14 + -3y = (-3x * 5 + y * 5) 14 + -3y = (-15x + 5y) Solving 14 + -3y = -15x + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 14 + -3y + -5y = -15x + 5y + -5y Combine like terms: -3y + -5y = -8y 14 + -8y = -15x + 5y + -5y Combine like terms: 5y + -5y = 0 14 + -8y = -15x + 0 14 + -8y = -15x Add '-14' to each side of the equation. 14 + -14 + -8y = -14 + -15x Combine like terms: 14 + -14 = 0 0 + -8y = -14 + -15x -8y = -14 + -15x Divide each side by '-8'. y = 1.75 + 1.875x Simplifying y = 1.75 + 1.875x
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