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Simplifying -34 = 7(y + -7) + -4y Reorder the terms: -34 = 7(-7 + y) + -4y -34 = (-7 * 7 + y * 7) + -4y -34 = (-49 + 7y) + -4y Combine like terms: 7y + -4y = 3y -34 = -49 + 3y Solving -34 = -49 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -34 + -3y = -49 + 3y + -3y Combine like terms: 3y + -3y = 0 -34 + -3y = -49 + 0 -34 + -3y = -49 Add '34' to each side of the equation. -34 + 34 + -3y = -49 + 34 Combine like terms: -34 + 34 = 0 0 + -3y = -49 + 34 -3y = -49 + 34 Combine like terms: -49 + 34 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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