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Simplifying 6 + -78(8 + -1y) = 97(6 + -1y) * 890 6 + (8 * -78 + -1y * -78) = 97(6 + -1y) * 890 6 + (-624 + 78y) = 97(6 + -1y) * 890 Combine like terms: 6 + -624 = -618 -618 + 78y = 97(6 + -1y) * 890 Reorder the terms for easier multiplication: -618 + 78y = 97 * 890(6 + -1y) Multiply 97 * 890 -618 + 78y = 86330(6 + -1y) -618 + 78y = (6 * 86330 + -1y * 86330) -618 + 78y = (517980 + -86330y) Solving -618 + 78y = 517980 + -86330y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '86330y' to each side of the equation. -618 + 78y + 86330y = 517980 + -86330y + 86330y Combine like terms: 78y + 86330y = 86408y -618 + 86408y = 517980 + -86330y + 86330y Combine like terms: -86330y + 86330y = 0 -618 + 86408y = 517980 + 0 -618 + 86408y = 517980 Add '618' to each side of the equation. -618 + 618 + 86408y = 517980 + 618 Combine like terms: -618 + 618 = 0 0 + 86408y = 517980 + 618 86408y = 517980 + 618 Combine like terms: 517980 + 618 = 518598 86408y = 518598 Divide each side by '86408'. y = 6.00173595 Simplifying y = 6.00173595
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