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Simplifying 4(2y + 3) = -2(y + -7) Reorder the terms: 4(3 + 2y) = -2(y + -7) (3 * 4 + 2y * 4) = -2(y + -7) (12 + 8y) = -2(y + -7) Reorder the terms: 12 + 8y = -2(-7 + y) 12 + 8y = (-7 * -2 + y * -2) 12 + 8y = (14 + -2y) Solving 12 + 8y = 14 + -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. 12 + 8y + 2y = 14 + -2y + 2y Combine like terms: 8y + 2y = 10y 12 + 10y = 14 + -2y + 2y Combine like terms: -2y + 2y = 0 12 + 10y = 14 + 0 12 + 10y = 14 Add '-12' to each side of the equation. 12 + -12 + 10y = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 10y = 14 + -12 10y = 14 + -12 Combine like terms: 14 + -12 = 2 10y = 2 Divide each side by '10'. y = 0.2 Simplifying y = 0.2
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