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Simplifying 4y + -12 = -4(y + -7) Reorder the terms: -12 + 4y = -4(y + -7) Reorder the terms: -12 + 4y = -4(-7 + y) -12 + 4y = (-7 * -4 + y * -4) -12 + 4y = (28 + -4y) Solving -12 + 4y = 28 + -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. -12 + 4y + 4y = 28 + -4y + 4y Combine like terms: 4y + 4y = 8y -12 + 8y = 28 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 8y = 28 + 0 -12 + 8y = 28 Add '12' to each side of the equation. -12 + 12 + 8y = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 28 + 12 8y = 28 + 12 Combine like terms: 28 + 12 = 40 8y = 40 Divide each side by '8'. y = 5 Simplifying y = 5
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