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Simplifying 7y + -6 + 4(y + 1) = -5y + -4 Reorder the terms: 7y + -6 + 4(1 + y) = -5y + -4 7y + -6 + (1 * 4 + y * 4) = -5y + -4 7y + -6 + (4 + 4y) = -5y + -4 Reorder the terms: -6 + 4 + 7y + 4y = -5y + -4 Combine like terms: -6 + 4 = -2 -2 + 7y + 4y = -5y + -4 Combine like terms: 7y + 4y = 11y -2 + 11y = -5y + -4 Reorder the terms: -2 + 11y = -4 + -5y Solving -2 + 11y = -4 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -2 + 11y + 5y = -4 + -5y + 5y Combine like terms: 11y + 5y = 16y -2 + 16y = -4 + -5y + 5y Combine like terms: -5y + 5y = 0 -2 + 16y = -4 + 0 -2 + 16y = -4 Add '2' to each side of the equation. -2 + 2 + 16y = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 16y = -4 + 2 16y = -4 + 2 Combine like terms: -4 + 2 = -2 16y = -2 Divide each side by '16'. y = -0.125 Simplifying y = -0.125
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