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Simplifying 5 + -7(y + 1) = -10y + 4 Reorder the terms: 5 + -7(1 + y) = -10y + 4 5 + (1 * -7 + y * -7) = -10y + 4 5 + (-7 + -7y) = -10y + 4 Combine like terms: 5 + -7 = -2 -2 + -7y = -10y + 4 Reorder the terms: -2 + -7y = 4 + -10y Solving -2 + -7y = 4 + -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. -2 + -7y + 10y = 4 + -10y + 10y Combine like terms: -7y + 10y = 3y -2 + 3y = 4 + -10y + 10y Combine like terms: -10y + 10y = 0 -2 + 3y = 4 + 0 -2 + 3y = 4 Add '2' to each side of the equation. -2 + 2 + 3y = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 3y = 4 + 2 3y = 4 + 2 Combine like terms: 4 + 2 = 6 3y = 6 Divide each side by '3'. y = 2 Simplifying y = 2
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