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Simplifying -5y + -2 + -4(y + 1) = -7y + 1 Reorder the terms: -5y + -2 + -4(1 + y) = -7y + 1 -5y + -2 + (1 * -4 + y * -4) = -7y + 1 -5y + -2 + (-4 + -4y) = -7y + 1 Reorder the terms: -2 + -4 + -5y + -4y = -7y + 1 Combine like terms: -2 + -4 = -6 -6 + -5y + -4y = -7y + 1 Combine like terms: -5y + -4y = -9y -6 + -9y = -7y + 1 Reorder the terms: -6 + -9y = 1 + -7y Solving -6 + -9y = 1 + -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. -6 + -9y + 7y = 1 + -7y + 7y Combine like terms: -9y + 7y = -2y -6 + -2y = 1 + -7y + 7y Combine like terms: -7y + 7y = 0 -6 + -2y = 1 + 0 -6 + -2y = 1 Add '6' to each side of the equation. -6 + 6 + -2y = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -2y = 1 + 6 -2y = 1 + 6 Combine like terms: 1 + 6 = 7 -2y = 7 Divide each side by '-2'. y = -3.5 Simplifying y = -3.5
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