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Simplifying -34 = -4y + 7(y + -7) Reorder the terms: -34 = -4y + 7(-7 + y) -34 = -4y + (-7 * 7 + y * 7) -34 = -4y + (-49 + 7y) Reorder the terms: -34 = -49 + -4y + 7y Combine like terms: -4y + 7y = 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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