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Simplifying -74 + 17y + 9 = 6(4y + -4) + -6 Reorder the terms: -74 + 9 + 17y = 6(4y + -4) + -6 Combine like terms: -74 + 9 = -65 -65 + 17y = 6(4y + -4) + -6 Reorder the terms: -65 + 17y = 6(-4 + 4y) + -6 -65 + 17y = (-4 * 6 + 4y * 6) + -6 -65 + 17y = (-24 + 24y) + -6 Reorder the terms: -65 + 17y = -24 + -6 + 24y Combine like terms: -24 + -6 = -30 -65 + 17y = -30 + 24y Solving -65 + 17y = -30 + 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. -65 + 17y + -24y = -30 + 24y + -24y Combine like terms: 17y + -24y = -7y -65 + -7y = -30 + 24y + -24y Combine like terms: 24y + -24y = 0 -65 + -7y = -30 + 0 -65 + -7y = -30 Add '65' to each side of the equation. -65 + 65 + -7y = -30 + 65 Combine like terms: -65 + 65 = 0 0 + -7y = -30 + 65 -7y = -30 + 65 Combine like terms: -30 + 65 = 35 -7y = 35 Divide each side by '-7'. y = -5 Simplifying y = -5
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