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Simplifying -4(y + -7) = 2(y + 3) + -4y + 12 Reorder the terms: -4(-7 + y) = 2(y + 3) + -4y + 12 (-7 * -4 + y * -4) = 2(y + 3) + -4y + 12 (28 + -4y) = 2(y + 3) + -4y + 12 Reorder the terms: 28 + -4y = 2(3 + y) + -4y + 12 28 + -4y = (3 * 2 + y * 2) + -4y + 12 28 + -4y = (6 + 2y) + -4y + 12 Reorder the terms: 28 + -4y = 6 + 12 + 2y + -4y Combine like terms: 6 + 12 = 18 28 + -4y = 18 + 2y + -4y Combine like terms: 2y + -4y = -2y 28 + -4y = 18 + -2y Solving 28 + -4y = 18 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 28 + -4y + 2y = 18 + -2y + 2y Combine like terms: -4y + 2y = -2y 28 + -2y = 18 + -2y + 2y Combine like terms: -2y + 2y = 0 28 + -2y = 18 + 0 28 + -2y = 18 Add '-28' to each side of the equation. 28 + -28 + -2y = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -2y = 18 + -28 -2y = 18 + -28 Combine like terms: 18 + -28 = -10 -2y = -10 Divide each side by '-2'. y = 5 Simplifying y = 5
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