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Simplifying 5(-3y + 1) = -7(x + -3) + -15x Reorder the terms: 5(1 + -3y) = -7(x + -3) + -15x (1 * 5 + -3y * 5) = -7(x + -3) + -15x (5 + -15y) = -7(x + -3) + -15x Reorder the terms: 5 + -15y = -7(-3 + x) + -15x 5 + -15y = (-3 * -7 + x * -7) + -15x 5 + -15y = (21 + -7x) + -15x Combine like terms: -7x + -15x = -22x 5 + -15y = 21 + -22x Solving 5 + -15y = 21 + -22x Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -15y = 21 + -5 + -22x Combine like terms: 5 + -5 = 0 0 + -15y = 21 + -5 + -22x -15y = 21 + -5 + -22x Combine like terms: 21 + -5 = 16 -15y = 16 + -22x Divide each side by '-15'. y = -1.066666667 + 1.466666667x Simplifying y = -1.066666667 + 1.466666667x
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