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Simplifying 8(y + -2) = 7(y + -9) Reorder the terms: 8(-2 + y) = 7(y + -9) (-2 * 8 + y * 8) = 7(y + -9) (-16 + 8y) = 7(y + -9) Reorder the terms: -16 + 8y = 7(-9 + y) -16 + 8y = (-9 * 7 + y * 7) -16 + 8y = (-63 + 7y) Solving -16 + 8y = -63 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -16 + 8y + -7y = -63 + 7y + -7y Combine like terms: 8y + -7y = 1y -16 + 1y = -63 + 7y + -7y Combine like terms: 7y + -7y = 0 -16 + 1y = -63 + 0 -16 + 1y = -63 Add '16' to each side of the equation. -16 + 16 + 1y = -63 + 16 Combine like terms: -16 + 16 = 0 0 + 1y = -63 + 16 1y = -63 + 16 Combine like terms: -63 + 16 = -47 1y = -47 Divide each side by '1'. y = -47 Simplifying y = -47
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