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Simplifying -65(y + -61) = y + (-61) Reorder the terms: -65(-61 + y) = y + (-61) (-61 * -65 + y * -65) = y + (-61) (3965 + -65y) = y + (-61) 3965 + -65y = y + -61 Reorder the terms: 3965 + -65y = -61 + y Solving 3965 + -65y = -61 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 3965 + -65y + -1y = -61 + y + -1y Combine like terms: -65y + -1y = -66y 3965 + -66y = -61 + y + -1y Combine like terms: y + -1y = 0 3965 + -66y = -61 + 0 3965 + -66y = -61 Add '-3965' to each side of the equation. 3965 + -3965 + -66y = -61 + -3965 Combine like terms: 3965 + -3965 = 0 0 + -66y = -61 + -3965 -66y = -61 + -3965 Combine like terms: -61 + -3965 = -4026 -66y = -4026 Divide each side by '-66'. y = 61 Simplifying y = 61
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