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Simplifying -5y + -10 = 2 + -1(y + 4) Reorder the terms: -10 + -5y = 2 + -1(y + 4) Reorder the terms: -10 + -5y = 2 + -1(4 + y) -10 + -5y = 2 + (4 * -1 + y * -1) -10 + -5y = 2 + (-4 + -1y) Combine like terms: 2 + -4 = -2 -10 + -5y = -2 + -1y Solving -10 + -5y = -2 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -10 + -5y + y = -2 + -1y + y Combine like terms: -5y + y = -4y -10 + -4y = -2 + -1y + y Combine like terms: -1y + y = 0 -10 + -4y = -2 + 0 -10 + -4y = -2 Add '10' to each side of the equation. -10 + 10 + -4y = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -4y = -2 + 10 -4y = -2 + 10 Combine like terms: -2 + 10 = 8 -4y = 8 Divide each side by '-4'. y = -2 Simplifying y = -2
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