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Simplifying 15y + -10 = 6y + (-1y + 2) + -1(y + 3) Reorder the terms: -10 + 15y = 6y + (-1y + 2) + -1(y + 3) Reorder the terms: -10 + 15y = 6y + (2 + -1y) + -1(y + 3) Remove parenthesis around (2 + -1y) -10 + 15y = 6y + 2 + -1y + -1(y + 3) Reorder the terms: -10 + 15y = 6y + 2 + -1y + -1(3 + y) -10 + 15y = 6y + 2 + -1y + (3 * -1 + y * -1) -10 + 15y = 6y + 2 + -1y + (-3 + -1y) Reorder the terms: -10 + 15y = 2 + -3 + 6y + -1y + -1y Combine like terms: 2 + -3 = -1 -10 + 15y = -1 + 6y + -1y + -1y Combine like terms: 6y + -1y = 5y -10 + 15y = -1 + 5y + -1y Combine like terms: 5y + -1y = 4y -10 + 15y = -1 + 4y Solving -10 + 15y = -1 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -10 + 15y + -4y = -1 + 4y + -4y Combine like terms: 15y + -4y = 11y -10 + 11y = -1 + 4y + -4y Combine like terms: 4y + -4y = 0 -10 + 11y = -1 + 0 -10 + 11y = -1 Add '10' to each side of the equation. -10 + 10 + 11y = -1 + 10 Combine like terms: -10 + 10 = 0 0 + 11y = -1 + 10 11y = -1 + 10 Combine like terms: -1 + 10 = 9 11y = 9 Divide each side by '11'. y = 0.8181818182 Simplifying y = 0.8181818182
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