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Simplifying -1(4a + -7) + -5a = 4(y + 1) + -2 Reorder the terms: -1(-7 + 4a) + -5a = 4(y + 1) + -2 (-7 * -1 + 4a * -1) + -5a = 4(y + 1) + -2 (7 + -4a) + -5a = 4(y + 1) + -2 Combine like terms: -4a + -5a = -9a 7 + -9a = 4(y + 1) + -2 Reorder the terms: 7 + -9a = 4(1 + y) + -2 7 + -9a = (1 * 4 + y * 4) + -2 7 + -9a = (4 + 4y) + -2 Reorder the terms: 7 + -9a = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 7 + -9a = 2 + 4y Solving 7 + -9a = 2 + 4y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9a = 2 + -7 + 4y Combine like terms: 7 + -7 = 0 0 + -9a = 2 + -7 + 4y -9a = 2 + -7 + 4y Combine like terms: 2 + -7 = -5 -9a = -5 + 4y Divide each side by '-9'. a = 0.5555555556 + -0.4444444444y Simplifying a = 0.5555555556 + -0.4444444444y
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