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Simplifying 5(-3y + -4) + 13 = 11y + 7(5n + -4y) Reorder the terms: 5(-4 + -3y) + 13 = 11y + 7(5n + -4y) (-4 * 5 + -3y * 5) + 13 = 11y + 7(5n + -4y) (-20 + -15y) + 13 = 11y + 7(5n + -4y) Reorder the terms: -20 + 13 + -15y = 11y + 7(5n + -4y) Combine like terms: -20 + 13 = -7 -7 + -15y = 11y + 7(5n + -4y) -7 + -15y = 11y + (5n * 7 + -4y * 7) -7 + -15y = 11y + (35n + -28y) Reorder the terms: -7 + -15y = 35n + 11y + -28y Combine like terms: 11y + -28y = -17y -7 + -15y = 35n + -17y Solving -7 + -15y = 35n + -17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17y' to each side of the equation. -7 + -15y + 17y = 35n + -17y + 17y Combine like terms: -15y + 17y = 2y -7 + 2y = 35n + -17y + 17y Combine like terms: -17y + 17y = 0 -7 + 2y = 35n + 0 -7 + 2y = 35n Add '7' to each side of the equation. -7 + 7 + 2y = 7 + 35n Combine like terms: -7 + 7 = 0 0 + 2y = 7 + 35n 2y = 7 + 35n Divide each side by '2'. y = 3.5 + 17.5n Simplifying y = 3.5 + 17.5n
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