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Simplifying 5y + -6 = 10 + -1(-1y) Reorder the terms: -6 + 5y = 10 + -1(-1y) Remove parenthesis around (-1y) -6 + 5y = 10 + -1 * -1y Multiply -1 * -1 -6 + 5y = 10 + 1y Solving -6 + 5y = 10 + 1y 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. -6 + 5y + -1y = 10 + 1y + -1y Combine like terms: 5y + -1y = 4y -6 + 4y = 10 + 1y + -1y Combine like terms: 1y + -1y = 0 -6 + 4y = 10 + 0 -6 + 4y = 10 Add '6' to each side of the equation. -6 + 6 + 4y = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 4y = 10 + 6 4y = 10 + 6 Combine like terms: 10 + 6 = 16 4y = 16 Divide each side by '4'. y = 4 Simplifying y = 4
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