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Simplifying 5(-3y + -4) + 13 = 11y + 7(5 + -4y) Reorder the terms: 5(-4 + -3y) + 13 = 11y + 7(5 + -4y) (-4 * 5 + -3y * 5) + 13 = 11y + 7(5 + -4y) (-20 + -15y) + 13 = 11y + 7(5 + -4y) Reorder the terms: -20 + 13 + -15y = 11y + 7(5 + -4y) Combine like terms: -20 + 13 = -7 -7 + -15y = 11y + 7(5 + -4y) -7 + -15y = 11y + (5 * 7 + -4y * 7) -7 + -15y = 11y + (35 + -28y) Reorder the terms: -7 + -15y = 35 + 11y + -28y Combine like terms: 11y + -28y = -17y -7 + -15y = 35 + -17y Solving -7 + -15y = 35 + -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 = 35 + -17y + 17y Combine like terms: -15y + 17y = 2y -7 + 2y = 35 + -17y + 17y Combine like terms: -17y + 17y = 0 -7 + 2y = 35 + 0 -7 + 2y = 35 Add '7' to each side of the equation. -7 + 7 + 2y = 35 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = 35 + 7 2y = 35 + 7 Combine like terms: 35 + 7 = 42 2y = 42 Divide each side by '2'. y = 21 Simplifying y = 21
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