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Simplifying y + 10 = -5(29 + -1y) + -5 Reorder the terms: 10 + y = -5(29 + -1y) + -5 10 + y = (29 * -5 + -1y * -5) + -5 10 + y = (-145 + 5y) + -5 Reorder the terms: 10 + y = -145 + -5 + 5y Combine like terms: -145 + -5 = -150 10 + y = -150 + 5y Solving 10 + y = -150 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 10 + y + -5y = -150 + 5y + -5y Combine like terms: y + -5y = -4y 10 + -4y = -150 + 5y + -5y Combine like terms: 5y + -5y = 0 10 + -4y = -150 + 0 10 + -4y = -150 Add '-10' to each side of the equation. 10 + -10 + -4y = -150 + -10 Combine like terms: 10 + -10 = 0 0 + -4y = -150 + -10 -4y = -150 + -10 Combine like terms: -150 + -10 = -160 -4y = -160 Divide each side by '-4'. y = 40 Simplifying y = 40
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