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Simplifying 3y + -3 + -4y + 5 = 10y + -2 + -7 Reorder the terms: -3 + 5 + 3y + -4y = 10y + -2 + -7 Combine like terms: -3 + 5 = 2 2 + 3y + -4y = 10y + -2 + -7 Combine like terms: 3y + -4y = -1y 2 + -1y = 10y + -2 + -7 Reorder the terms: 2 + -1y = -2 + -7 + 10y Combine like terms: -2 + -7 = -9 2 + -1y = -9 + 10y Solving 2 + -1y = -9 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 2 + -1y + -10y = -9 + 10y + -10y Combine like terms: -1y + -10y = -11y 2 + -11y = -9 + 10y + -10y Combine like terms: 10y + -10y = 0 2 + -11y = -9 + 0 2 + -11y = -9 Add '-2' to each side of the equation. 2 + -2 + -11y = -9 + -2 Combine like terms: 2 + -2 = 0 0 + -11y = -9 + -2 -11y = -9 + -2 Combine like terms: -9 + -2 = -11 -11y = -11 Divide each side by '-11'. y = 1 Simplifying y = 1
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