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Simplifying -34 + 9y = 5(2y + -7) Reorder the terms: -34 + 9y = 5(-7 + 2y) -34 + 9y = (-7 * 5 + 2y * 5) -34 + 9y = (-35 + 10y) Solving -34 + 9y = -35 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -34 + 9y + -10y = -35 + 10y + -10y Combine like terms: 9y + -10y = -1y -34 + -1y = -35 + 10y + -10y Combine like terms: 10y + -10y = 0 -34 + -1y = -35 + 0 -34 + -1y = -35 Add '34' to each side of the equation. -34 + 34 + -1y = -35 + 34 Combine like terms: -34 + 34 = 0 0 + -1y = -35 + 34 -1y = -35 + 34 Combine like terms: -35 + 34 = -1 -1y = -1 Divide each side by '-1'. y = 1 Simplifying y = 1
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