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Simplifying -7(2y + -4) + 3y = 7(y + 6) Reorder the terms: -7(-4 + 2y) + 3y = 7(y + 6) (-4 * -7 + 2y * -7) + 3y = 7(y + 6) (28 + -14y) + 3y = 7(y + 6) Combine like terms: -14y + 3y = -11y 28 + -11y = 7(y + 6) Reorder the terms: 28 + -11y = 7(6 + y) 28 + -11y = (6 * 7 + y * 7) 28 + -11y = (42 + 7y) Solving 28 + -11y = 42 + 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. 28 + -11y + -7y = 42 + 7y + -7y Combine like terms: -11y + -7y = -18y 28 + -18y = 42 + 7y + -7y Combine like terms: 7y + -7y = 0 28 + -18y = 42 + 0 28 + -18y = 42 Add '-28' to each side of the equation. 28 + -28 + -18y = 42 + -28 Combine like terms: 28 + -28 = 0 0 + -18y = 42 + -28 -18y = 42 + -28 Combine like terms: 42 + -28 = 14 -18y = 14 Divide each side by '-18'. y = -0.7777777778 Simplifying y = -0.7777777778
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