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Simplifying 5 + -1(y + 7) = 10 + 3(y + -4) Reorder the terms: 5 + -1(7 + y) = 10 + 3(y + -4) 5 + (7 * -1 + y * -1) = 10 + 3(y + -4) 5 + (-7 + -1y) = 10 + 3(y + -4) Combine like terms: 5 + -7 = -2 -2 + -1y = 10 + 3(y + -4) Reorder the terms: -2 + -1y = 10 + 3(-4 + y) -2 + -1y = 10 + (-4 * 3 + y * 3) -2 + -1y = 10 + (-12 + 3y) Combine like terms: 10 + -12 = -2 -2 + -1y = -2 + 3y Add '2' to each side of the equation. -2 + 2 + -1y = -2 + 2 + 3y Combine like terms: -2 + 2 = 0 0 + -1y = -2 + 2 + 3y -1y = -2 + 2 + 3y Combine like terms: -2 + 2 = 0 -1y = 0 + 3y -1y = 3y Solving -1y = 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -1y + -3y = 3y + -3y Combine like terms: -1y + -3y = -4y -4y = 3y + -3y Combine like terms: 3y + -3y = 0 -4y = 0 Divide each side by '-4'. y = 0 Simplifying y = 0
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