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Simplifying -4(y + 1) = 7(y + 2) + -3 Reorder the terms: -4(1 + y) = 7(y + 2) + -3 (1 * -4 + y * -4) = 7(y + 2) + -3 (-4 + -4y) = 7(y + 2) + -3 Reorder the terms: -4 + -4y = 7(2 + y) + -3 -4 + -4y = (2 * 7 + y * 7) + -3 -4 + -4y = (14 + 7y) + -3 Reorder the terms: -4 + -4y = 14 + -3 + 7y Combine like terms: 14 + -3 = 11 -4 + -4y = 11 + 7y Solving -4 + -4y = 11 + 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. -4 + -4y + -7y = 11 + 7y + -7y Combine like terms: -4y + -7y = -11y -4 + -11y = 11 + 7y + -7y Combine like terms: 7y + -7y = 0 -4 + -11y = 11 + 0 -4 + -11y = 11 Add '4' to each side of the equation. -4 + 4 + -11y = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -11y = 11 + 4 -11y = 11 + 4 Combine like terms: 11 + 4 = 15 -11y = 15 Divide each side by '-11'. y = -1.363636364 Simplifying y = -1.363636364
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