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Simplifying -7(-2y + 4) + -6y = 4(y + -3) + -2 Reorder the terms: -7(4 + -2y) + -6y = 4(y + -3) + -2 (4 * -7 + -2y * -7) + -6y = 4(y + -3) + -2 (-28 + 14y) + -6y = 4(y + -3) + -2 Combine like terms: 14y + -6y = 8y -28 + 8y = 4(y + -3) + -2 Reorder the terms: -28 + 8y = 4(-3 + y) + -2 -28 + 8y = (-3 * 4 + y * 4) + -2 -28 + 8y = (-12 + 4y) + -2 Reorder the terms: -28 + 8y = -12 + -2 + 4y Combine like terms: -12 + -2 = -14 -28 + 8y = -14 + 4y Solving -28 + 8y = -14 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -28 + 8y + -4y = -14 + 4y + -4y Combine like terms: 8y + -4y = 4y -28 + 4y = -14 + 4y + -4y Combine like terms: 4y + -4y = 0 -28 + 4y = -14 + 0 -28 + 4y = -14 Add '28' to each side of the equation. -28 + 28 + 4y = -14 + 28 Combine like terms: -28 + 28 = 0 0 + 4y = -14 + 28 4y = -14 + 28 Combine like terms: -14 + 28 = 14 4y = 14 Divide each side by '4'. y = 3.5 Simplifying y = 3.5
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