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Simplifying 4(4y + -28) = -2(7y + -4) Reorder the terms: 4(-28 + 4y) = -2(7y + -4) (-28 * 4 + 4y * 4) = -2(7y + -4) (-112 + 16y) = -2(7y + -4) Reorder the terms: -112 + 16y = -2(-4 + 7y) -112 + 16y = (-4 * -2 + 7y * -2) -112 + 16y = (8 + -14y) Solving -112 + 16y = 8 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -112 + 16y + 14y = 8 + -14y + 14y Combine like terms: 16y + 14y = 30y -112 + 30y = 8 + -14y + 14y Combine like terms: -14y + 14y = 0 -112 + 30y = 8 + 0 -112 + 30y = 8 Add '112' to each side of the equation. -112 + 112 + 30y = 8 + 112 Combine like terms: -112 + 112 = 0 0 + 30y = 8 + 112 30y = 8 + 112 Combine like terms: 8 + 112 = 120 30y = 120 Divide each side by '30'. y = 4 Simplifying y = 4
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