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Simplifying 70 + 17y + 4 = 6(4y + -5) + -8 Reorder the terms: 70 + 4 + 17y = 6(4y + -5) + -8 Combine like terms: 70 + 4 = 74 74 + 17y = 6(4y + -5) + -8 Reorder the terms: 74 + 17y = 6(-5 + 4y) + -8 74 + 17y = (-5 * 6 + 4y * 6) + -8 74 + 17y = (-30 + 24y) + -8 Reorder the terms: 74 + 17y = -30 + -8 + 24y Combine like terms: -30 + -8 = -38 74 + 17y = -38 + 24y Solving 74 + 17y = -38 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 74 + 17y + -24y = -38 + 24y + -24y Combine like terms: 17y + -24y = -7y 74 + -7y = -38 + 24y + -24y Combine like terms: 24y + -24y = 0 74 + -7y = -38 + 0 74 + -7y = -38 Add '-74' to each side of the equation. 74 + -74 + -7y = -38 + -74 Combine like terms: 74 + -74 = 0 0 + -7y = -38 + -74 -7y = -38 + -74 Combine like terms: -38 + -74 = -112 -7y = -112 Divide each side by '-7'. y = 16 Simplifying y = 16
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