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Simplifying 10y + -6 = 4y + -15 + -3y Reorder the terms: -6 + 10y = 4y + -15 + -3y Reorder the terms: -6 + 10y = -15 + 4y + -3y Combine like terms: 4y + -3y = 1y -6 + 10y = -15 + 1y Solving -6 + 10y = -15 + 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 + 10y + -1y = -15 + 1y + -1y Combine like terms: 10y + -1y = 9y -6 + 9y = -15 + 1y + -1y Combine like terms: 1y + -1y = 0 -6 + 9y = -15 + 0 -6 + 9y = -15 Add '6' to each side of the equation. -6 + 6 + 9y = -15 + 6 Combine like terms: -6 + 6 = 0 0 + 9y = -15 + 6 9y = -15 + 6 Combine like terms: -15 + 6 = -9 9y = -9 Divide each side by '9'. y = -1 Simplifying y = -1
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