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Simplifying -5(2y + -3) + 7 = 42 Reorder the terms: -5(-3 + 2y) + 7 = 42 (-3 * -5 + 2y * -5) + 7 = 42 (15 + -10y) + 7 = 42 Reorder the terms: 15 + 7 + -10y = 42 Combine like terms: 15 + 7 = 22 22 + -10y = 42 Solving 22 + -10y = 42 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -10y = 42 + -22 Combine like terms: 22 + -22 = 0 0 + -10y = 42 + -22 -10y = 42 + -22 Combine like terms: 42 + -22 = 20 -10y = 20 Divide each side by '-10'. y = -2 Simplifying y = -2
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