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Simplifying 5(-3 + -4) + 13 = 11y + 7(5 + -4y) Combine like terms: -3 + -4 = -7 5(-7) + 13 = 11y + 7(5 + -4y) Multiply 5 * -7 -35 + 13 = 11y + 7(5 + -4y) Combine like terms: -35 + 13 = -22 -22 = 11y + 7(5 + -4y) -22 = 11y + (5 * 7 + -4y * 7) -22 = 11y + (35 + -28y) Reorder the terms: -22 = 35 + 11y + -28y Combine like terms: 11y + -28y = -17y -22 = 35 + -17y Solving -22 = 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. -22 + 17y = 35 + -17y + 17y Combine like terms: -17y + 17y = 0 -22 + 17y = 35 + 0 -22 + 17y = 35 Add '22' to each side of the equation. -22 + 22 + 17y = 35 + 22 Combine like terms: -22 + 22 = 0 0 + 17y = 35 + 22 17y = 35 + 22 Combine like terms: 35 + 22 = 57 17y = 57 Divide each side by '17'. y = 3.352941176 Simplifying y = 3.352941176
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