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Simplifying -7y + 29 = -5(6y + 8) Reorder the terms: 29 + -7y = -5(6y + 8) Reorder the terms: 29 + -7y = -5(8 + 6y) 29 + -7y = (8 * -5 + 6y * -5) 29 + -7y = (-40 + -30y) Solving 29 + -7y = -40 + -30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '30y' to each side of the equation. 29 + -7y + 30y = -40 + -30y + 30y Combine like terms: -7y + 30y = 23y 29 + 23y = -40 + -30y + 30y Combine like terms: -30y + 30y = 0 29 + 23y = -40 + 0 29 + 23y = -40 Add '-29' to each side of the equation. 29 + -29 + 23y = -40 + -29 Combine like terms: 29 + -29 = 0 0 + 23y = -40 + -29 23y = -40 + -29 Combine like terms: -40 + -29 = -69 23y = -69 Divide each side by '23'. y = -3 Simplifying y = -3
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