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Simplifying -81 + 9y + 2 = 4(4y + -5) + -3 Reorder the terms: -81 + 2 + 9y = 4(4y + -5) + -3 Combine like terms: -81 + 2 = -79 -79 + 9y = 4(4y + -5) + -3 Reorder the terms: -79 + 9y = 4(-5 + 4y) + -3 -79 + 9y = (-5 * 4 + 4y * 4) + -3 -79 + 9y = (-20 + 16y) + -3 Reorder the terms: -79 + 9y = -20 + -3 + 16y Combine like terms: -20 + -3 = -23 -79 + 9y = -23 + 16y Solving -79 + 9y = -23 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -79 + 9y + -16y = -23 + 16y + -16y Combine like terms: 9y + -16y = -7y -79 + -7y = -23 + 16y + -16y Combine like terms: 16y + -16y = 0 -79 + -7y = -23 + 0 -79 + -7y = -23 Add '79' to each side of the equation. -79 + 79 + -7y = -23 + 79 Combine like terms: -79 + 79 = 0 0 + -7y = -23 + 79 -7y = -23 + 79 Combine like terms: -23 + 79 = 56 -7y = 56 Divide each side by '-7'. y = -8 Simplifying y = -8
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