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Simplifying 3(y + -5) + -7(y + -2) = 3 Reorder the terms: 3(-5 + y) + -7(y + -2) = 3 (-5 * 3 + y * 3) + -7(y + -2) = 3 (-15 + 3y) + -7(y + -2) = 3 Reorder the terms: -15 + 3y + -7(-2 + y) = 3 -15 + 3y + (-2 * -7 + y * -7) = 3 -15 + 3y + (14 + -7y) = 3 Reorder the terms: -15 + 14 + 3y + -7y = 3 Combine like terms: -15 + 14 = -1 -1 + 3y + -7y = 3 Combine like terms: 3y + -7y = -4y -1 + -4y = 3 Solving -1 + -4y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4y = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -4y = 3 + 1 -4y = 3 + 1 Combine like terms: 3 + 1 = 4 -4y = 4 Divide each side by '-4'. y = -1 Simplifying y = -1
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