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Simplifying 52(y + 4) = 44(y + -4) Reorder the terms: 52(4 + y) = 44(y + -4) (4 * 52 + y * 52) = 44(y + -4) (208 + 52y) = 44(y + -4) Reorder the terms: 208 + 52y = 44(-4 + y) 208 + 52y = (-4 * 44 + y * 44) 208 + 52y = (-176 + 44y) Solving 208 + 52y = -176 + 44y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-44y' to each side of the equation. 208 + 52y + -44y = -176 + 44y + -44y Combine like terms: 52y + -44y = 8y 208 + 8y = -176 + 44y + -44y Combine like terms: 44y + -44y = 0 208 + 8y = -176 + 0 208 + 8y = -176 Add '-208' to each side of the equation. 208 + -208 + 8y = -176 + -208 Combine like terms: 208 + -208 = 0 0 + 8y = -176 + -208 8y = -176 + -208 Combine like terms: -176 + -208 = -384 8y = -384 Divide each side by '8'. y = -48 Simplifying y = -48
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