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Simplifying 15y + -10 = 6y + -1(y + 2) + (-1y + 3) Reorder the terms: -10 + 15y = 6y + -1(y + 2) + (-1y + 3) Reorder the terms: -10 + 15y = 6y + -1(2 + y) + (-1y + 3) -10 + 15y = 6y + (2 * -1 + y * -1) + (-1y + 3) -10 + 15y = 6y + (-2 + -1y) + (-1y + 3) Reorder the terms: -10 + 15y = 6y + -2 + -1y + (3 + -1y) Remove parenthesis around (3 + -1y) -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 = 11 11y = 11 Divide each side by '11'. y = 1 Simplifying y = 1
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