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Simplifying 4 + -8(y + 2) = -9y + 7 Reorder the terms: 4 + -8(2 + y) = -9y + 7 4 + (2 * -8 + y * -8) = -9y + 7 4 + (-16 + -8y) = -9y + 7 Combine like terms: 4 + -16 = -12 -12 + -8y = -9y + 7 Reorder the terms: -12 + -8y = 7 + -9y Solving -12 + -8y = 7 + -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. -12 + -8y + 9y = 7 + -9y + 9y Combine like terms: -8y + 9y = 1y -12 + 1y = 7 + -9y + 9y Combine like terms: -9y + 9y = 0 -12 + 1y = 7 + 0 -12 + 1y = 7 Add '12' to each side of the equation. -12 + 12 + 1y = 7 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 7 + 12 1y = 7 + 12 Combine like terms: 7 + 12 = 19 1y = 19 Divide each side by '1'. y = 19 Simplifying y = 19
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