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Simplifying -2y + -42 = -7(y + 1) Reorder the terms: -42 + -2y = -7(y + 1) Reorder the terms: -42 + -2y = -7(1 + y) -42 + -2y = (1 * -7 + y * -7) -42 + -2y = (-7 + -7y) Solving -42 + -2y = -7 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -42 + -2y + 7y = -7 + -7y + 7y Combine like terms: -2y + 7y = 5y -42 + 5y = -7 + -7y + 7y Combine like terms: -7y + 7y = 0 -42 + 5y = -7 + 0 -42 + 5y = -7 Add '42' to each side of the equation. -42 + 42 + 5y = -7 + 42 Combine like terms: -42 + 42 = 0 0 + 5y = -7 + 42 5y = -7 + 42 Combine like terms: -7 + 42 = 35 5y = 35 Divide each side by '5'. y = 7 Simplifying y = 7
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